# Math - Possible or Potential rational zeros

146,904 results

### Math - Possible or Potential rational zeros

List all possible (or potential) rational zeros for the polynomial below. Find all real zeros of the polynomial below and factor completely over the real numbers. Please show all of your work. f(x) = x^4 - 7x^3 - 3x^2 + 19x + 14

### calculususe the rational zeros theorem to list the

use the rational zeros theorem to list the potential rational zeros of the potential function. Do not attempt to find the zeros. f(x)=2x^5-x^3+8x^2+52

### potential rational zeros

list the potential rational zeros of the polynomial function, do not find the zeros. f(x)=x^5-5x^2+4x+3

### math

f(x)= x^3 - 2x^2 - 21x - 18 all possible rational zeros # of possible positive zeros # of possible negative zeros find all the real zeros

### Use the rational zeros theorem

Use the rational zeros theorem to list the potential reational zeros of the polynomial function. Do not attempt to find the zeros. f(x)=6x^4+9x^3+30x^2+63x+28

### Math

Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. -2x^4+4x^3+3x^2+18

### algebra

use the rational zero theorem to list the potential rational zeros of the polynomial function. Do not attempt to find the zeros. f(x)=2x^7-x^5+8x^4+52

### Math - potential zero

List all possible (or potential) rational zeros for the polynomial below. Find all real zeros of the polynomial below and factor completely over the real numbers. Please show all of your work. f(x) = x^4 - 7x^3 -3x^2 + 19x + 14 Help

### algebra

List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which actually are zeros). (Enter your answers as a comma-separated list.) S(x) = 6x4 − x2 + 6x + 12

### Math Problem (please help)

Find all the zeros of the function. When there is an extended list of possible rational zeros, use a graphing utility to graph the function in order to discard any rational zeros that are obviously not zeros of the function. (Enter your answers as a comma-separated list.) f(x...

### Algebra

Use the rational zeros theorem to list the potential reational zeros of the polynomial function. Do not attempt to find the zeros. f(x)=6x^4+9x^3+30x^2+63x+28

### Rational Zeros

List all possible rational zeros for the polynomial below. Find all real zeros of the polynomial and factor f(x)=2x^4+19x^3+37x^2-55x-75

### algebra

list all the possible rational zeros of f using the rational zero theorem. then find all the zeros of the function. 1. f(x)=x^2-6x+5 2. f(x)=x^3+x^2-10x+8

### alg 2

list all the possible rational zeros of f using the rational zero theorem. Then find all the zeros of the function. f(x)=x^3+4x^2+9x+36

### Algebra- is my answer right

Use the rational zeros theorem to list all possible rational zeros of the following. -2x^3-x^2-4x-5 I got +-1,+-5+-,5/2,+-1/2 Be sure that no value in your list appears more than once.

### algebra

List all possible or potential rational zeros for the polynomial below find all real zeros of the polynomial below and factor completely over the real numbers. f(x) x^4 + 10x^3 + 12x^2 - 58x + 35 Someone anyone?????

### 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...

### Math

Consider the polynomial f(x) = 2x^3 – 3x^2 – 8x – 3. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them.

### 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-...

### math

list all the possible rational zeros for the polynomial below. find all the zeros of the polynomialbelow and factor completely. F(x)=5x^4-x^3-33x^2-43x-16

### Math

List all potential rational zeros of 9x^3+6x^2-29x-10

### Algebra

Consider the polynomial: f(x) = 2x^3 – 3x^2 – 8x – 3. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them.

### algebra

Consider the polynomial f(x) = 3x3 – 2x2 – 7x – 2. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them.

### algebra

Consider the polynomial f(x) = 3x3 – 2x2 – 7x – 2. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them.

### Algebra

Consider the polynomial f(x) = 3x3 – 2x2 – 7x – 2. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them.

### algebra

Use the rational zero theorem to list all possible rational zeros for the given function f(x)=x^3-4x^2-19x-14

### Precalculus

I'm HOPING this is the last problem I need help on.. :-/ List the possible rational zeros of f using the rational zero theorem. f(x) = 2x^3 - x^2 + 5x + 6 I applied the rational zero theorem, but none of the factors worked :(

### rational zeros theorem

Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=25x^4+26x^3+126x^2+130x+5 Find the real zeros x= Use the real zeros to factor f f(x)=

### Algebra 2!!!!

Use the graph to shorten the list of possible rational zeros of the function. Then find all real zeros of the function. 1.) f(x)= 4x^3-8x^2-15x+9 4.) f(x)= 2x^3-5x^2-4x+10

### math

Describe a method you can use to shorten the list of possible rational zeros when using the rational zero theorem? I know how to do the problems, I just don't know how to shorten that method. Please help me.

### college algebra

list potential rational zeros f(x)=x^4+3x^2-4

### pre cal

Given f(x)=x^4-7x^3+18x^2-22x+12 A: list all possible rational zeros B: Graph f(x) C: Find all zeros D: show f(x) in factured form thanks I can't figure it out. Can skip B... thanks

### 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

For the polynomial function, (a) list all possible rational zeros, (b) find all rational zero, and (c) factor f(x)! f(x)=6x^3+13x^2_41x+12

### 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?

### Algebra

Using rational zero theorem find all rational zeros P(x)=3x^3+43x^2+43x+27 Factors: 27, -1, 3, 9, 27 Factors: 3, -1, 3 +-1/3, +-1, +-3, +-9, +-27 possible rational zero for function P(x)

### algebra

List all possible rational zeros for the polynomial below. Find all real zeros and factor completely. Please show all your work. f(x) = 2x^4 + 19x^3 + 37x^2 - 55x - 75

### algebra 2

help please!! state the possible rational zeros for each function. then find all zeros. y=x^3-13x^2-x+13 show all the step please .thanks

### Math Problem2

List all possible rational zeros for the polynomial below. Find all real zeros of the polynomial below and factor completely. Please show all of your work. f(x) = 5x^4 – x^3 - 33x^2 – 43x – 16

### Algebra

Use the rational zero theorem to find all rational zeros, and use those zeros to write f(x) = 2x^4-x^3-9x^2+4x+4

### algebra2

list all of the possible rational zeros of f(x) = 3x^5 - 7x^3 + 2x - 15.

### Algebra 2

Help List all the possible rational zeros of p(x) = 2x^3 - 3^2 + 4x - 6.

### algebra II

What are the possible rational zeros of f(x) = 2x3 – 15x2 + 9x + 22?

### algebra

Using the rational zeros theorem to find all zeros of a polynomial The function below has at least one rational zero. Use this fact to find all zeros of the function g(x)=5x©ù-28©ø-48x©÷-8x+7 if more than one zero, separate with commas. Write exact values, not decimal ...

### Math

A polynomial function with rational coefficients has the following zeros. Find all additional zeros. 2, -2 + ã10

### Math Problem (please help)

Find the zeros (if any) of the rational function. (If there are no zeros, enter NONE.) g(x) = (x^3-64)/(x^2+2) need help solving

### algebra

Using the rational zeros theorem to find all zeros of a polynomial The function below has at least one rational zero. Use this fact to find all zeros of the function h(x)=7x^4-9x^3-41x^2+13x+6 if more than one zero, separate with commas. Write exact values, not decimal ...

### math

usethe rational zero theorem to find all real zeros of the polynomisl function.Use the zeros to factor f over the real numbers. f(x)=x^4+2x^33-7x^2-8x+12 what are the real zeros?> use the real zeros to factor f f(x)=

### 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

List all of the possible rational zeros of f(x)= 3x^5 - 7x^3 + 2x - 15. p= factor of 15 q= factor of 3 1,3,5,15 1,3 answer is 1,3,5,15,1/3,1,5/3,5

### precalculus

I'm going to do this on my own, but I would like to check mine against yours - give me today to work on it and I will be able to compare. List all possible rational zeros for the polynomial find all real zeros and factor completely. show work f(x)=3x^4-29x^3+89x^2-75x-36 thank...

### Math -Urgent!!!

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

for the function g(x)=5x^6-3x^3+x^2-x, list the possible rational zeros of g(x) and then use synthetic division to factor g(x) completely.

### Pre-Calc/Trig

Help me please. List all possible rational zeros for the polynomial function. p(x)=3x^3-2x^2-5x-2

### algebra

Find all rational zeros of the polynomial function P(x)=x^4 + 2 x^3 - 13 x^2 + 4 x - 30. Enter the rational zeros in a comma separated list. If there are none, enter "none". -3| 1 2 -13 4 -30 -3 15 -6 30 1 -5 2 -10 0 so (x+3)(x^3-5x^2+2x-10 so 5| 1 -5 2 -10 5 0 10 1 0 2 so (x+...

### Decartes Rule of Signs

Could you explain to me decartes Rule of signs? Here are my questions: Use Decartes Rule of signs to determine the possible number of postive and negative real zeros for the given function. 1. f(x)=-7x^9+x^5-x^2+6 choices are: a. 2 or 0 positive zeros,2 or 0 negative zeros b.2...

### College algebra

Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers f(x)=9x^4+28x^3+66x^2+196x+21 Find the real zeros of f Use the real zeros to factor f f(x)=

### college algebra

use rational zeros theorem to find all the real zeros in the polynomial function. use zeros to factor f over real numbers. f(x)=x^3+10x^2-13x-22 find real zeros of f? use real zeros to factor f?

### college algebra

use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=x^3-8x^2-31x-22

### College Algebra

Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=2x^3-x^2+2x-1

### algebra

Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)= x^4+6x^3-11x^2-24x+28 Molon

### calculus

use rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=x^3-8x^2-31x-22 **please show work**

### pre calculus

use the rational zeros theorem to find all the real zeros of the polynomial function. use the zeros to factor f over the real numbers: f(x)=x^4+2x^3-7x^2-8x+12 I am totally lost, please help?

### calculus

use the rational zeros theorem to find all the real zeros of the polynomial. Use the zeros to factor f over the real numbers. f(x)=2x^3-x^2+2x-1

### Algebra

I posted this problem last night and some one told me I was wrong. Today, two of my group members have the same answers for this problem. Can some one tell us what or where we went wrong? Using rational zero theorem find all rational zeros P(x)=3x^3+43x^2+43x+27 Factors: 27, -...

### Factor Theorem Math

Use the Factor Theorem to determine the rational zeros of this function. Then use other methods to determine any other zero of this function. 4x^4-x^3-11x^2-2x+6 (I already did p/q and found a total of 16 possible zeros. I synthetic divide all of them and none gave me a root ...

### Algebra

Suppose that a polynomial function of degree 5 with rational coefficients has 6, −2+4i, 4−sqrt2 as zeros. Find the other zeros. Thank you!

### Precalculus

Suppose that a polynomial function of degree 4 with rational coefficients has i and (-3 + square root of 3)as zeros find the other zeros

### college algebra

for the function g(x)=5x^6-3x^3+x^2-x, list the possible rational zeros of g(x) and then use synthetic division to factor g(x) completely. ***i'm confused, doesn't this problem need a constant?****

### Algebra2

Can someone check my answer for me. List all the possible rational zeros of f(x)= 3x^5-7x^3+2x-15 p=15 1,3,5,15 q=3 1,3 answer: 1,3,5,15,1/3,1/5,3/5

### Precalculus

Suppose that a polynomial function of degree 4 with rational coefficients has i and (-3 + square root of 3)as zeros find the other zeros show work please

### Math Algebra

Use Descartes' Rule of Signs to determine the possible number of positive real zeros and the possible number of negative real zeros for the function. 1. 9x^6-5x^4-2x^3+8x^2-4x=0 2. -9x^4+5x^3-2x^2+4x-3=0

### math

factor this polynomial function completely f(x)=12x^4+10x^3-214x^2+198x+90 I found all the possible rational zeros but just cant seem to factor it all

### college algebra

1. solve the following logarithmic equation log_8(x+8)+log_8(x+7)=2 what is the exact solution 2.se the rational theorem to find all the real zeros of the polynomial function. use the zeros to factor f over the real numbers. f(x)=4x^4+5x^3+9x^2+10x+2 a.find the real zeros of f...

### 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 ...

### college algebra

use the rational zeros theorem to find all the real zeros of the polynomial function,. use the zeros to factor f over the real numbers. f(x)=11x^3-x^2+11x-1 please show all work

### 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?

### Pre-Calculus

Find all the rational zeros of the polynomial, and then find the irrational zeros P(x)= 2x^4+15x^3+31x^2+20x+4

### pre-ap Algebra 2

write a polynomial function f of least degree that has the rational coefficients, a leading coefficient of 1, and the given zeros. Given zeros: -2,2,-1,3, sqrt 11

### Algebra 2

Is my work for this problem correct? Directions: State the possible rational zeros for each function. Question: f(x) = 3x^2 + 2x – 1 Answer: Constant term:-1 Factors: 1 Leading coefficient:3 Factors: 1 and 3 ±1/1,3= ±1/1,3 and ±1/1,3 = ±1/1 and ±1/3 = ±1 and ±1/3

### Algebra 2

Did I solve this problem correctly? Directions: State the possible rational zeros for each function. Question:f(x) = x6 - 64 Answer: Constant term:64 Factors:1,2,4,8,16,32,64 Leading coefficient:1 Factors: 1 ±1,2,4,8,16,32,64/1 = ±1, ±2, ±4, ±8, ±16, ±32, ±64

### Decartes Rules

Use Decartes Rule of signs to determine the possible number of postive and negative real zeros for the given function. Please check my answers? 1. f(x)=-7x^9+x^5-x^2+6 This is what I did: There are 2 sign changes f(-x)=-7(-x)^9+(-x)^5-(-x)^2+6 There are 2 sign changes So, are ...

### 7th grade, math

Can someone explain the steps to solve this problem? If a number ends in zeros, the zeros are called terminal zeros. For example, 520000 has four terminal zeros, but 502,000 has just three terminal zeros. Let N equal the product of all natural numbers from 1 through 20: N=...

### 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

use the rational zero theorem to find all the real zeros of the polynomial function. use the zeros to factor f over the real numbers: f(x)=4x^4+9x^3+30x^2+63x+14 I cant even find sample problems to help me figure this out. help me please?

### College Algebra 105

use the rational zero's theorem to list the potential zero's of the polynomial function. Do not attempt to find the zero's f(x)=-169x^7-x^6+x+13 and then the second part is find the potential rational zero's.

### 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?

### 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

### 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

### Decartes Rule

Can you please check my work? Use Decartes Rule of signs to determine the possible number of postive and negative real zeros for the given function. 1. f(x)=-7x^9+x^5-x^2+6 This is what I did: There are 2 sign changes f(-x)=-7(-x)^9+(-x)^5-(-x)^2+6 There are 2 sign changes So...

### 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

### Math

f(x)=x64-4x^2+k. Find the values of k so thath the zeros of f satisfy the specified charachteristics. a.four real zeros b.two real zeros, each of multiplicity of two c.two real zeros and two complex zeros d.four complez zeros a.I don't know if this range goes for this or b. 1&...

### 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!

### Decartes Rule of Signs-Check Problems

Use Decartes Rule of signs to determine the possible number of postive and negative real zeros for the given function. 1. f(x)=-7x^9+x^5-x^2+6 This is what I did: There are 2 sign changes f(-x)=-7(-x)^9+(-x)^5-(-x)^2+6 There are 2 sign changes So, are there 2 or 0 positive ...

### college algebra--please help

what does Descartes rule of signs tell you about the possible number of positive real number zeros and the possible number of negative real zeros of the function? 1. f(x)=2x^5-5x^2+x-1 2. f(x)=5x^6+7x^4-x-6 please show work

### 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.

### Math-Polynomials/Zeros

How do I find complex zeros in a an equation if the equation doesn't have the + or - value at the end can th ecomplex zero(s) be made up? I'm getting really confused with complex zeros well zeros in general

### math

approximate all zeros and extrema to the nearest hundredth. how many zeros, if any, are imaginary. -x^4+2x^2+x-4. Are there no zeros?

### Adv. Math.

Find the number of possible negative real zeros for f(x)=6+x^4+2x^2-5x^3-12. Answer: 0 2) Approximate the real zeros of f(x)=2x^4-3x^2-2 to the nearest tenth. Answer: no real roots