Please help find the rational roots of f(x)=4x^4 - 3x^3 + 2x^2 +x - 3 another is f(x)=-3x^3 - 2x^2 + x - 1 I tried but still confuse please help really really need help Thank you very much!

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Calculus

Please help find the rational roots of f(x)=4x^4 - 3x^3 + 2x^2 +x - 3 another is f(x)=-3x^3 - 2x^2 + x - 1 I tried but still confuse please help really really need help Thank you very much!

Alegbra 2

Use the rational root theorem to list all possible rational roots for the equation. X^3+2x-9=0. Use the rational root theorem to list all possible rational roots for the equation. 3X^3+9x-6=0. A polynomial function P(x) with rational coefficients has the given roots. Find two ...

algebra

Factor this polynomial: F(x)=x^3-x^2-4x+4 Try to find the rational roots. If p/q is a root (p and q having no factors in common), then p must divide 4 and q must divide 1 (the coefficient of x^3). The rational roots can thuis be +/1, +/2 and +/4. If you insert these values you...

Pre-Calc-Please check

Is this correct? Using Rational Roots Theorem, list all possible rational root of f(x) = 2x^3 - 3x^2 + 5x+6 Possible roots are p/a = -+1, -+2, +-3, -+6. -+3/2

College Algebra--Still Confused

I have a few problems I need help with and also do have multiple choice. If I can have an explanation of how to get the answer that would be great. 1. Use the discriminant to determine whether the given equation has two irrational roots, two rational roots, one repeated root, ...

Math - Rational Roots

1.) What are the possible rational roots of the function f(x) = 3x^4 - x - 2 2.) What are the rational roots of the following equation: x^3 - 4x^2 - 4x +16 = 0 Thank you for any help!

Algebra

Can someone please explain how to do these problems. 1)write a polynomial function of least degree with intregal coefficients whose zeros include 4 and 2i. 2)list all of the possible rational zeros of f(x)= 3x^3-2x^2+7x+6. 3)Find all of the rational zeros of f(x)= 4x^3-3x^2-...

Algebra 2

1) Find the roots of the polynomial equation. x^3-2x^2+10x+136=0 2) Use the rational root theorem to list all problem rational roots of the polynomial equation. x^3+x^2-7x-4=0. Do not find the actual roots.

Pre-Calc-Please check

I have three questions: 1. What is the remainder of (x^3 + 2x^2 - 5x+4) /(x-3) I think the answer is 34?? 2. Evaluate (4+5i)(2+2i) =4(2) +4(2i) + 5i(2) + 5i(2i) = 8 + 8i + 10i+10i^2(-1) =-2 + 18i 3. Using Rational Roots Theorem, list all possible rational root of f(x) = 2x^3...

ALGEBRA 2

Use the Rational Root Theorem to list all possible rational roots for each equation. Then find any actual roots. x^3 + 2x^2 + 3x + 6 = 0 (8 points)

Math

A polymomial p(x) = ax^2 + bx + c where a, b, c are some rational, has 1 + root 3 as one of the zeros and also p (2) = - 2, Find values of a, b and c. Please work the solution. Tried it many times but still can't get the answer/ The answer is a = 1, b = -2 and c = -2.

Math

A polymomial p(x) = ax^2 + bx + c where a, b, c are some rational, has 1 + root 3 as one of the zeros and also p (2) = - 2, Find values of a, b and c. Please work the solution. Tried it many times but still can't get the answer/ The answer is a = 1, b = -2 and c = -2.

Math

A polymomial p(x) = ax^2 + bx + c where a, b, c are some rational, has 1 + root 3 as one of the zeros and also p (2) = - 2, Find values of a, b and c. Please work the solution. Tried it many times but still can't get the answer/ The answer is a = 1, b = -2 and c = -2.

college algebra

Radical and Rational Exponent find roots square roots of 12a^3/25=6a^3 -3-square roots 18/-6=-1 this is my answer am I right. check this for me it find the roots of the problem

math

I HAVE THESE ANSWERS FOR THE PROBLEMS. COULD YOU DOUBLE CHECK PLEASE, THIS IS A PRACTICE QUIZ WHICH ISN'T A GRADE IT JUST HELPS ME GET READY FOR THE TEST. 1) a 2) b 3) d 4) a 5) d 1. Solve x^3 + 6x^2 + 13x + 10 = 0. a) –2 + 2i, –2 –2i, –2 b) 2 + i, 2 – i, –2 c) –...

math

Still looking at how to solve these... Both are cubic polynomials? 43x^3 + 13x^2 + 18x - 456 = 0 DO I divide first by x-1? 2x(3x+2)^2=312 Honestly: I would graph the equations and find the roots first. I don't see them off hand. graph y=43x^3 + 13x^2 + 18x - 456 and y=2x(3x+2...

Pre-Calculus

Hello, I have tried solving this using the rational roots theorem and none of the roots seem to be working. I'm trying to figure out where I went wrong. 3x^3 -2x^2 - 7x - 4 = 0

math

Could you please solve so I can double check my answers for the practice quiz? Thank You!! 1. Solve x^3 + 6x^2 + 13x + 10 = 0. a) –2 + 2i, –2 –2i, –2 b) 2 + i, 2 – i, –2 c) –2 + i, –2 – i, –2 d) 2 + 2i, 2 – 2i, –2 2. Find the discriminant and describe ...

Math

How to factor x^3 - 3x^2 + 4 =0 Use D'Alembert's Rational Roots Theorem. Any rational roots of the form of p/q (p and q assumed to be relatively prime) must be such that p divides the constant term (in this case 4) and q divides the coefficient of the largest power of x (in ...

algebra

Radical and Rational Exponent find roots square roots of 12a^3/25=6a^3 -3-square roots 18/-6=-1 check this for me it find the roots of the problem.

algebra

Radical and Rational Exponent find roots square roots of 12a^3/25=6a^3 -3-square roots 18/-6=-1 check this for me it find the roots of the problem.

College Algebra

I have a few problems I need help with and also do have multiple choice. If I can have an explanation of how to get the answer that would be great. 1. Use the discriminant to determine whether the given equation has two irrational roots, two rational roots, one repeated root, ...

math

List all possible rational zeros of... h(x)= 2x to the (4th power) - 5x (to the third power) + 3x (to the 2nd power) + 4x - 6 Use the Rational Roots Theorem. Any root of the form p/q with p and q relatively prime must be such that p divides 6 and q divides 2. You then find the...

Algebra 2

Can someone check my work please? I tried my best on all the problems but I still don't understand excluded values and how to simplify rational expressions. Thank you in advance for any help! 1)6x^5/2x^3 6/2 = 3 3x^5/x^3 x^5-x^3 = x^2 3x^2/1 2) (2x+4)+(x^2 +2x) 2x+4: 2(x+2) x^...

algebra

3x^4 + 5x^2 - 2 = 0 give imaginary and real roots rational roots theorem factors of (+-)p/q are possible rational zeros of function f where the coefficients of f are integers. how do you go about solving this?

Math

Please help me with this question. 4x^2-3x-3 = 0 has roots p, q. Find all quadratic equations with roots p^3 and q^3. I think I do know how to do it but no matter how many times I try, I could never get the right answer. Please help me!!

algebra

using the rational root theorem to list all possible rational roots of the polynomial equation x^3-x^2-x-3=0 possible answers -3,-1,1,3 1,3 -33 no roots

Math, factoring

Two of the roots of x^4 +ax^3 +ax^2+11x+b=0 are 3 and -2. 1. Find the value of a and b 2. Find the other roots. I believe that a = -3 and b = -6. I am unsure of how to find the other roots. Please show how you found the answer.

Advanced Math.

List the possible rational roots of 2x^3 + 17x^2 + 23x - 42 = 0 My answer: the possible rational roots are {±1, ±2, ±3, ±6, ±7, ±14, ±21, ±42. ±1/2, ±3/2, ± 7/2, ±21/2}. Correct?

Math

Find all possible rational roots using the rational root theorem. x^4 - 3x^2 + 12 = 0 Plus/minus 1, 2, 3, 4, 6, 12?

Algebra

Please check my answers. Thanks! Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational roots. 5.2x^3-13x^2+22x-8=0 -My answer:{1/2,2,4} 6.x^3-8x^2-x+8=0 -My answer: {1,-1,8} Find the rational zero of the ...

Math-Rational #'s

Just trying to understand this. Please let me know if I did these right. Thanks!!! -7 as a rational # = -7/10 -3.03 as a rational # = -33/10 -2 3/12 as a rational # = -25/12 1.03 as a rational # = 13/10

algebra

if a quadratic equation with real coefficents has a discriminant of 10, then what type of roots does it have? A-2 real, rational roots B-2 real, irrational roots C-1 real, irrational roots D-2 imaginary roots

math

The discriminant of a quadratic equation is 35. The roots are: a) unequal rational numbers b) unequal irrational numbers c) equal rational numbers d) imaginary numbers Please explain.

Math Rational Functions-Please Clarify =)

I have a question about the rational function I recently posted. Would the range still be (-∞,2)U(2,∞) if the rational function is what Reiny posted "(2x^2-18)/(x^2+3x-10)." The y-intercept confuses me because its (0,1.8) and when I look at the line it passes ...

Pre calculus

Find all roots f(x)- x^3+2x^2-15x+30 Factor f(x) completely. I can't find any roots and always get a remainder with 1, -1, 2, -2 What do you do if you cannot find a root?? Using Calc button on ti84 I got X= -5.619 Y=1.4E-11 Still can't find zeros...

Math

Given that the equation x(x-2p)=q(x-p) has real roots for all real values of p and q. If q=3, find a non-zero value for p so that the roots are rational.

Pre-Calc/Trig...

Helpp needed, this is sort of confusing me. Describe the nature of the roots for this equation. 2x^2-x+1=0 A. Two real, rational roots B. Two real, irrational roots C. One real, double root D. Two complex roots

Math

determine the value(s) of k which the equation x^2+kx+9=0 will have a) two real roots b) 2 distinct roots I tried to find the discriminant but I didn't get the right answer.

Math

determine the value(s) of k which a quadratic equation x^2+kx+9=0 will have. a) two equal real roots b) 2 distinct roots I tried to find the discriminant but couldn't get the right answer

algebra 2

Suppose the polynomial f(x) has the following roots: 1+6sqrt2, 2−sqrt6, and 6+sqrt2. If f(x) has only rational coefficients, the Irrational Root Theorem indicates that f(x) has at least three more roots. What are the three additional roots that f(x) must have?

Pre-Calc-Please check my answer

Please help-I'm stuck really bad Thank you for any help you can provide What are the roots of the equation x^2 -4x + 3 = 0 x^2 - 4x = 3 x^2 +2(-2)x + -2^2 = -3 = -2^2 x^2 + -4x + 4 = 1 (x + -2)^2 = 1 qrt (x+-2)^2 = sqrt 1 x+-2 = plus or minus 1 therefore x=1 x=3 roots are 1 and 3

Math

5x^2-10x+d=0 Determine an integer value for d such that the equation has rational, non zero roots Please show me the steps and how to answer this question :) thanks:)

Math

A jewelry box is designed such that its length is twice its width and its depth is 2 inches less than its width. The volume of the box is 64 cubic inches. Use synthetic division to find the roots of the polynomial equation. Are the roots all rational numbers? Ans: Yes, the ...

Rational Forms

List all the possible rational zeros of f(x)=3x^3-x^2+2x=2. Please help me. I don't understand how to do this. Can someone show me please.

Algebra

Use the Rational Theorem to list the possible rational roots. f(x)=x^2+2x+1 f(x)=x^2-2x+5 f(x)=x^2+4x-5

math help

how do prove that this equation has rational roots for all rational values of K 3x^2+kx-k=3x

maths

Prove that if p and q are rational and p is not equal to 0, the roots of the quadratic equations p x(square) + 2qx -p +2q = 0 are rational.

Pre-Calc/Trig

Please check the first and help with the second-thank you Find all possible rational roots of f(x) = 2x^4 - 5x^3 + 8x^2 + 4x+7 1.I took the constant which is 7 and the leading coefficient which is 2 and factored them 7 factored would be 7,2 2 factored would be 2,1 used 7 as ...

Math

1. Is square root of negative 10 irrational or rational? 2. Is 2.79797979... irrational or rational? I'm not very good at identifying irrational and rational numbers at least I tried too. 1. irrational 2. rational

algebra

use the rational root theorem to list the possible rational roots for each of the following equations f(x)=x^2+2x+1 f(x)=x^2-2x+5 f(x)=x^2+4x-5

Math

Find all possible rational roots using the rational root theorem. 3x^3 + 2x^2 - 1 = 0 plus/minus 1/3 and plus/minus 1?

Math

State the number of complex roots,possible number of real roots and possible rational roots for x^5 - x^3 - 11x^2+ 9x+18=0

Math

I need to find k for the probability distribution: P(x)=k(x+2) for x=1,2,3 I tried subbing in the x-values, which gave me: P(1)=3k P(2)=4k P(3)=5k But I still have no idea what I need to do to find k. Guidance, please?

Math

I need to find k for the probability distribution: P(x)=k(x+2) for x=1,2,3 I tried subbing in the x-values, which gave me: P(1)=3k P(2)=4k P(3)=5k But I still have no idea what I need to do to find k. Guidance, please?

Algebra 2

Find the rational roots of x^4+3x^3+3x^2-3x-4=0. A.0,1 B.1,2 C.1,-1 D.-1,2

math

Still having problems solving this... 2x(2x + 1)^2 = 312 I started with: 2x(2x+1)(2x+1)-312 = 0 2x(4x^2+4x+1)-312 = 0 8x^3+8x^2+2x -312 = 0 Now what? If you don't have to solve for x, then then you have the final answer! If you have to find x: then you have to use the group ...

Pre-Calculus/Trig Check please and help

Could someone please check the first one and help me with the second one. I'm stuck-Thank you 1.What are theroots of the following polynomial equation? (x+2i)(x-5)(x-2i)(x+8) = 0 I think the roots are -2i,5,2i,-8-you take out the roots as opposites of what are in the equaion ...

algebra 2

List all possible rational zeros of each function. f(x)=4x^5+4x^2-9 Find all rational roots of each function f(x)=2x^3+x^2+8x+4

math

If a b c are non zero,unequal rational numbers then prove that the roots of the eqn (abc²) x²+ 3a²cx+b²cx-6a²-ab+2b²=0 are rational.

chemistry

This question I really don't get it. I tried tried tried to figure out how to start solve the problem but still couldn't figure out. So can you help me with one question PLEASE? If so, can you please explain to me how you get the answer? Also can you show me step by step of ...

math 012 please help explain

can someone please help explain how to do this problem. i have a previous posting where i tried to work the problem out, and someone tried to explain where i was confused, but im still confused. 4(2n+1)=3(6n+3)+1

maths-equadratic eqn

one of the roots of the quadratic equation x^2-(4+k)x+12=0 find, 1)the roots of the equation 2)the possible values of k please show your workings thanks in advance.

Math

I can't remember how you find the roots of quadratic equations other than determining the zeroes of the equation and finding the x-intercepts. Can someone please give me a clear answer on this as my dad has been useless on this topic and I need help like ASAP! You can find the...

English

Please help me I still can't find two cause and effect relationships in the letter to his son by Robert e lee. I read the letter and have finish annotating it but still can't find it. Please help me

irrational numbers?!

what are rational and irrational numbers?? i know that irrational numbers are numbers that cannot be expressed as a fraction, but i'm still confused. there is this question: which of the following are irrational numbers: √2, √8, 22/7, pi, 2√3 i know that 22/7...

Maths

X squared-(k+3)x+4k=0 Please help me find the value of k for which there are equal roots but of opposite sign Working out please thanks

grade 10 science

i don't get the difference betwwen a littoral zone and a limentic zone. i tried reading my textbook like three times and i still don't get it, i even went to da internet but i still don't get it. please help me. thanks

Math

Help. If p and q are the roots of the equation 2x^2-x-4=0. Find the equation whose roots are p-(q/p) and q-(p/q). Working please

math

Find all the possible rational roots of f(x)= 4x^4 - 3x^3 +2x^2 + x -3 f(x) = -3x^3 - 2x^2 + x -1 Thank you so much:)

Algebra 2

find all the possible rational roots of g(x)=2x^4+6x^3-11x+8

maths

q1) 2cos2x is f(x) -square root3 is g(x) solve f(x)-g(x)=0 to get points of intersection in x is between 0 and 180degrees q2) a) write the equation cos2x + 8cosx+9=0 in terms of cosx and show that for cosx it has equal roots q2b) show that there are no real roots for x. for q2...

Algebra 2

How would you write a polynomial function with rational coefficients so that P(x)=0 has the given roots? The given roots are -2,-2,3,5

Chemistry

Balance the equation: NO2- (aq) + Al (s) --> NH3 (g) + AlO2- (aq) (basic solution) ** please note the "2-" on the NO2- and AlO2- are not subscripts, they are the charges. I missed a few classes in Chemistry and find myself lost. I have tried to learn these equations with ...

Social Studies

Could someone please give me some examples of increasing revenues I tried looking it up but I can't find anything. I know I was on here an hour ago but I still need a little assistance. Thanks

algebra 2

find all rational roots of the polynomial 6x^3-13x^2-41x-12=0

Calculus: drwls, please

First, I appreciate your help, and this is very kind of all of you to help us. Now, this problem we are both sick of: we are to use transformations of f(x)= 1/x or f(x)=1/x^2 to graph the rational function: f(x)= 1/x -4. I tried using the information you gave me, but my graphs...

maths

find the following square roots,using 'prime factors': i) 784 ii) 7056. 1 iii) 20---- 4 please give answers and tell me how to do. please

math ergent please please...

Explain how to find the equation of the vertical asymptotes of a reciprocal function in full details. * Steve told me to look up in the web, and did, but still i couldn't find the correct one. someone help please....

Algebra 2

Find a third-degree polynomial equation with rational coefficients that has roots -1 and i+1

CHEM AP please help!!

Using Heisenberg's uncertainty principle, calculate the uncertainty in the position of the following. a 1.32-mg mosquito moving at a speed of 1.61 m/s if the speed is known to within ± 0.01 m/s i tried every way and still cant get it..please someone help

Math

Roots Ok, what about roots? Roots of polynomials? Square roots? Cube roots? Terminology, notation, equations using them? Help us out here a little.

Math

What are the roots of x^2+3x+1? I'm kinda confused on the definition of roots...help please?

math- please help

What is the best sequence of names to identify this set of numbers? (1 3/5,-10, 0.51(the one is repeating), TT,17) 1.(rational,integer,irrational,irrational,natural) 2. (rational,irrational,rational, irrational, whole) 3.rational,real,rational,real, natural) 4. (real,integer, ...

8th Grade Math

Please help! Which statement is false? A. The number zero is a rational number. B. Some irrational numbers are also rational numbers. C. Every irrational number is a real number. D. Every integer is a rational number. I thinks its D. Please help!

Precalculus

"Show that x^6 - 7x^3 - 8 = 0 has a quadratic form. Then find the two real roots and the four imaginary roots of this equation." I used synthetic division to get the real roots 2 and -1, but I can't figure out how to get the imaginary roots. I checked HotMath but all it showed...

Calculus

Using l'hopitals rule, evaluate the following: Lim x-->infinity Inx/2(x)^1/2 Limx-->0 (1/x - 1/e^x -1) I tried both multiple times and I'm still not getting an answer. For the first one I tried l'hopitals rule 3 times and I'm still getting infinity over infinity for an ...

Algebra 2

How do I solve polynomial equation by finding all complex roots? The problem is: factor each expression and find all complex roots of x^3+64 I got as far as x^3+64=(x+4)(x^2-4x+16) Now how do i find the roots of (x+4) and the roots of (x^2-4x+16) Thanks

pre-calculus

List the possible rational roots of each equation. Then determine the rational roots. 6x^4+35x^3-x^2-7x-1 The answer in the back of the book is: -1/3 and 1/2 I know that I'm supposed to use Descartes rule of signs. I found that there was 1 positive zero and 3 or 1 negative ...

math

x+4/2 - x-1/5 + 2x+5/10 another is 3b/7a - a/2b + 3a^2-2b^2/14ab another is 2x-y/3x+y + 5x/2y this is an rational algebraic expression my topic is all about sums and differences of rational algebraic expression please answer this please HELP ME!

Social Studies

During the early 1800s, the United States tried to make peace with other countries in order to grow and develop. Give an example of one of these peace efforts and briefly explain what it hoped to accomplish. Could you please help? Ideas? I don't exactly want websites, they don...

Geography

Some time ago, I posted up an essay that I had to write but its information was out of my book so i was told to make it in my own words. I have to mail out the exam today and I still havn't gotten anywhere with it!! I've tried to understand each of the sentences but when I try...

algebra

I've tried this problem like 7 times and still struggling: f(x)=9x^3+2x^2-5x+4 and g(x)=5x^3-7x+4 so what is f(x)-g(x)? My answer was 4x^3+2x^2+2x...... is this correct? If not please help.

Math

I can't seem remember the rules for this.Can someone please help me with the following questions? You can find the roots of a quadratic equation by determining the zeros of the quadratic function or the ...? You can find the roots of a quadratic equation by determining the x-...

Algebra2

Find the polynomials roots to each of the following problems: #1) x^2+3x+1 #2) x^2+4x+3=0 #3) -2x^2+4x-5 #3 is not an equation. Dod you omit "= 0" at the end? #2 can be factored into (x+1)(x+3) = 0, so the roots are x=-1 and -3. #1 Use the quadratic equation for the roots [-b...

Math

3) Explain how the laws of exponents work with rational exponents and give at least one example of an expression containing rational exponents... Please help.. I can't find the answer to this anywhere..

Math

Which of these rational numbers does the Rational Roots Theorem say can't be a solution to 14x7 + 13x5 − 19x4 + 7x2 − 6x − 21 = 0? A. 3/2 B. 2/7 C. -1 D. -(1/2)

MATH HELP PLEASE!!!

How do you solve this please show with steps I'm very lost, I tried to put it in square root and I tried to multiply my approaches do not add up to the answer which is supposed to be 9/125... (3^1/3 • 5^ -1/2)^6

math

0.3x-0.2y=4 0.5x+0.3y=-7/17 Can anyone Please help me solve using the elimination system..... Someone tried to explain it but I still do not get it at all

Algebra

Find all positive integer values of c such that the equation x^2-7x+c=0 only has roots that are real and rational.

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