# Math--polynomial equation

152,368 results

math
As^5.V(s)+Bs^4.V(s)+Cs^3.V(s)+Ds^2.V(s)+Es^1V(s)+F.V(s)=1, where V(s) is the transformed transient output voltage. Rearranging the 5th order transient polynomial equation above we have: V(s) = 1 / H(s) where H(s) is a polynomial is a polynomial in s to be determine. The values...

Math--polynomial equation
Write a polynomial equation with these roots. a)-1,2+ã3,2-ã 3 b)2,5,1

Math
The function f(x) = x^2 -2x + x^1/2 is: A. A polynomial because it is continuous. B. A polynomial because it is of the form axn. C. Not a polynomial because you are subtracting 2x. D. Not a polynomial because you can’t have any fractional exponents. Is the answer D?

Math--polynomial equation
Write a polynomial equation with these roots. a)-1,2+sqt3,2-sqt3 b)2,5,1 sqt= square root

Find all zeros of the following polynomial. Write the polynomial in factored form. f(x)=x^3-3x^2+16x-48 I put: x^2(x-3)+16(x=3) (x-3)(x^2+16) For zeros: x-3=0 x=0 **My teacher stated check the equation solution again. What is the value for x and hence what is the zero for the ...

Math ( Polynomial )
If the polynomial, x^4 - 6x^3 + 16x^2 - 25x + 10 is divided by another polynomial x^2 - 2x + k, the remainder comes out to be x + a, find k + a, please work the complete solution instead of giving simply an answer.

Math
Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3 - 28x - 48 = 0 x=2 I have no idea how to start this problem!!

Math:Polynomial Functions
h(x) = -7x I was thinking that this was not a polynomial function because -7x is just one term making it a monomial but the answer key says it is a polynomial function. Could someone explain why that is so? Thanks :D

Write the polynomial equation of least degree that has the roots: -3i, 3i, i, and -i. Answer: (x+3i)(x-3i)(x-i)(x+i)=x^4+x^3-x^3i+9x^2+9x-9xi-9i 2)Determine if the expression 4m^5-6m^8+m+3 is a polynomial in one variable. If so, state the degree. Answer: It is a polynomial in ...

Algebra
If 3 is a zero of the polynomial f(x), then which of the following is NOT necessarily true? A. (x – 3) is a factor of the polynomial f(x). B. 3 is a solution of the equation f(x) = 0. C. (3, 0) is an x-intercept for f. D. (0, 3) is a y-intercept for f.

zeros of a polynomial
polynomial is x^3 - x^2 -11x + 15 If 3 is the zero of the polynomial, when you divide this polynomial with x-3, the remainder has to be 0? yes. If y=x^3 - x^2 -11x + 15, when y=0 the roots are on the axis.

polynomials
i also have theses to solve Factor the polynomial x2 + 5x + 6 completely Solve the given equation by using the quadratic formula. x2 – 7x – 4 = 0 What value is under the square root (or radical) in your answer? (Note: You are asked to identify only the value under the ...

math
hi my name is hedi and i am in serious need with help with some math problems dealing with polynomials can some one please help me? Determine whether each expression is a polynomial. If it is a polynomial, state the degree of the polynomial. (This is the question) 1.5x^3+2xy6^...

Math
Find the discriminant for the quadratic equation f(x) = 5x^2 - 2x + 7 and describe the nature of the roots. discriminant is 144, one real root discriminant is -136, two complex roots <--? discriminant is -136, one complex root discriminant is 144, two real roots If a ...

Multiply. 1) (3t^2 - 2t - 4) * (5t + 9) Writing. 1) Explain why the product of a quadratic polynomial and a linear polynomial must be a cubic polynomial.

math help pls pls pls
Four polynomials are shown below: A. 2 − 2x5 + 2x2 B. 5x3 + 5 − 5x4 C. 3x + 2x5 D. 6x3 − 1 Which of the above polynomials is a 5th degree binomial? Polynomial A Polynomial B Polynomial C Polynomial D pls help me

POLYNOMIALS
The cubic polynomial f(x) is such that the coefficient of x^3 is -1. and the roots of the equation f(x) = 0 are 1, 2 and k. Given that f(x)has a remainder of 8 when divided by (x-3), find the value of k. okay, this is what i did: -x^3 + bx^2 + cx + d = (x-1)(x-2)(x-k) f(3)=8 -...

pre cal
Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3 - 28x - 48 = 0 Value of x = -4 Please help!!Thank you

Math
solve the polynomial equation (x+5)(x+1)=45

math
If a polynomial equation p(x)=0 has 3+4i as a solution 3-i 4-3i 4+3i 3-4i

Math
consider the polynomial (x-a)(x-b)and the real number line Identify the points on the line where the polynomial is zero. In each of the three subintervals of the line, write the sign of each factor and the sign of the product.For which values does the polynomial possibly ...

math
what is an equation of a polynomial function that has zeros at -3 and -2?

math
what is an equation of a polynomial function that has zeros at -3 and -2?

Math: Polynomial inequalities
Show all work solve the Math: Polynomial inequality and express the solution in set notation. 2t^2 - 3 < or = to t

math
1.binomial 2.degree of monomial 3.monomial 4.perfect-square trinomial 5.standard form of polynomial A.a polynomial with two terms B.a polynomial in which the terms decrease in degree from left to right and there are no like terms C.a polynomial whith two identical binomal ...

Math
Determine the real roots of the polynomial equation: (x^2+1)(x-4)=0

Math
Part 1: Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample problem that has a binomial which IS a factor of the polynomial being divided, and another problem that has a binomial which is NOT a factor of...

Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3 - 28x - 48 = 0 Value of x = -4 Please help!!Thank you

Math
What answers this definition: A polynomial, you would write the polynomial as a product of factors.

Math
blank is a polynomial, you would write the polynomial as a product of factors?

math
Find a polynomial with integer coefficients such that (sqrt3 + sqrt5) is a root of the polynomial

math
Find a polynomial with integer coefficients such that (sqrt3 + sqrt5) is a root of the polynomial

math
Consider the polynomial x^3 + 6x^2 + 3x - 10. Without dividing, or graphing, which two of (x+2), (x-2), (x+1), and (x-1) must be factors of the polynomial? Why/how do you know?

math ( polynomial )
Identify each polynomial below as a monomial, bnomial, or trinomial and name the degree x2 - 25 x2 - 6x + 7 2x + 3y - 4

math
Factor each polynomial, if possible. If the polynomial cannot be factored, write prime. 15b^2-24bf

math-polynomial
the question was using the polynomial P(x)=x^2-4, evaluate P(-x) I did P(-x)=(-x)^2-4 (-x=2)(-x-2) Is this correct? Thanks for looking over my work.

Math
Part 1: Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample problem that has a binomial which IS a factor of the polynomial being divided, and another problem that has a binomial which is NOT a factor of...

Math
What is the basic principle that can be used to simplify a polynomial? What is the relevance of the order of operations in simplifying a polynomial

Math
Then length of a rectangle is 5 less than 2 times the width, write a polynomial for the perimeter and a polynomial for the area.

math
. Find the roots of the polynomial equation. x2 + x undefined 72 = 0 (Points : 1) 9 and 8 6 and 6 2 and 16 9 and 8

math
Factor each polynomial completely, if a polynomial is prime say so 9x^2+4y^2

math
How is the range of a polynomial function related to the degree of the polynomial?

math
Find a polynomial, which, when added to the polynomial 5x2–3x–9, is equivalent to: 0

algebra

algebra

algebra

algebra

algebra

algebra

algebra

algebra

algebra

Math
Factor the polynomial P(x)=x^3-2x^2-13x-10. Then solve the equation P(x)=0. This is what I got: P(x)=(x+1)(x^2-3x-10) P(x)=(x+1)(x-5)(x+2) When it says solve the equation P(x)=0 does it means solve for x? If so then x=-1 or 5 or -2 Correct??? please and thank you

find the polynomial
degree 4 zeros i & (1+i) constant term 12 How do I start this problem. Thanks A degree four polynomial will have the form (x^4 +... x + c), where c is a constant. You will need to generate an equation that has the above form, using c=12. Solve for the roots [i & (1+i)].

Math
(Factoring a sum or difference of cubes) and (solving a polynomial equation). 2x^3+2=0

Math
give a one-sentence definition fora polynomial equation

A number is called algebraic if there is a polynomial with rational coefficients for which the number is a root. For example, √2 is algebraic because it is a root of the polynomial x^2−2. The number √(2+√3+√5)is also algebraic because it is a root...

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.

Math
What is a “real” zero? 1. A solution to a polynomial. 2. A non-imaginary number. 3.An x-intercept of a polynomial. 4. All of the above. The answer is 4, right?

math
Find an equation of a polynomial function of degree 5 with integer coefficients with zeros 0, -2, and 1/2.

math
Look at this trinomial 32a^4 + 18a^3 - 12a Write the polynomial as the product of the GCF of all its terms and a polynomial PLEase explain thanks

Graphs of polynomial functions
What do polynomial functions look like? And what can be consider a polynomial function? Would a graph that is like an upside down V be considered as a graph of a polynomial function?

Algebra
how do you solve this equation...its a polynomial...help please What is the equation

Math
Use the given root to find the solution set of the polynomial equation. x^3 + 8x^2 -18x +20= 0 ; 1+i

Math
Let f(x)= px^5 + qx^4 + rx^3 + sx^2 + tx + u be a polynomial such that f(1) = -1 and f(2) = 3 and all the numbers p, q, r, s, t and u are integers. prove that the equation px^5 + qx^4 + rx^3 + sx^2 + tx + u = 0 has no integer roots.

Math ( Pre Calc)
Find all real and imaginary roots of the polynomial equation 3x^4-x^3+4x^2-2x-4=0

Math
without solving, describe two ways to show that 2, -1, 3, and -2 are the roots of the polynomial equation x^2-2x^3-7x^2+8x+12=0.

Polynomial Functions
What do polynomial functions look like? And what can be consider a polynomial function? Would a graph that is like an upside down V be considered as a graph of a polynomial function?

Polynomial Functions-help
What do polynomial functions look like? And what can be consider a polynomial function? Would a graph that is like an upside down V be considered as a graph of a polynomial function?

Math urgent
Find a degree 6 polynomial with - 8 as a root, no other roots, and in which the coefficient of x^6 is 16. Assume that all (non-constant) factors of the polynomial correspond to real zeroes.

Math
The number of prisoners measured in thousands can be described by the polynomial -2.06x^2+77.85x+750. According to the polynomial, by how much did the prison population increase from 2002 to 2007?

pre cal
Use factoring to solve the polynomial equation: HINT: Try multiplying each side of the equation by a number to eliminate the denominators. x2/162 + X/18 + 1/9 =0

math,correction
Can someone correct these for me please.. Find the value of the polynomial 8x – 6 when x = 1 and when x = –1. My answer: So when x = 1 the value of the polynomial is: 2And when x = -1 the value of the polynomial is: -14 Multiply. (x – 8)2 Answer: x^2-16x+16 You first ...

Math ( Polynomial )
This time three questions - 1. If (x^2 - 1 ) is a factor of polynomial ax^4 + bx^3 + cx^2 + dx + e, show that a + c + e = b + d = 0. 2. Let R1 and R2 be the remainders when polynomials x^3 + 2x^2 - 5ax - 7 and x^ 3 + ax^2 - 12 x + 6 are divided by ( x + 1 ) and ( x - 2 ) ...

Math ( Polynomial )
This time three questions - 1. If (x^2 - 1 ) is a factor of polynomial ax^4 + bx^3 + cx^2 + dx + e, show that a + c + e = b + d = 0. 2. Let R1 and R2 be the remainders when polynomials x^3 + 2x^2 - 5ax - 7 and x^ 3 + ax^2 - 12 x + 6 are divided by ( x + 1 ) and ( x - 2 ) ...

ap algebra
Please help me with this problem. I don't know what to do. Use the graph or table to determine a solution of the equation. Use synthetic division to verify that this number is a solution of the equation. Then solve the polynomial equation. x3 + 6x2 + 11x + 6 = 0

Writing equation of a polynomial function
Can you help me with the following questions, I don't understand. thanks! Write the equation of a polynomial function with the given characteristics. Use a leading coefficient of 1 or -1 and make the degree of the function as small as possible. #1. Crosses the x-axis at -4, 0...

Algebra -polynomial
Solve the polynomial 40x^2+2x-65 Notice that for x = 1 the value is -23. The number 23 is a prime number and the only factors are thus 23 and 1 up to signs. So, you can simply the search for the factors of the polynomial a great deal by substituting: x = 1 + t which yields 40 ...

Find a degree 6 polynomial with - 8 as a root, no other roots, and in which the coefficient of x^6 is 16. Assume that all (non-constant) factors of the polynomial correspond to real zeroes.

Algebra
please help me with this question and check my answers. Solve the problem. A rectangle with width 2x + 5 inches has an area of 2x4 + 9x3 - 12x2 - 79x - 60 square inches. Write a polynomial that represents its length. ( I don't know how to solve this problem) Use synthetic ...

Math
Determine whether the expression is a polynomial, if it is state how many terms and variables the polynomial contains. state the degree -4x-2y-1 the -2 and -1 are above the Y

Math Algebra
Determine whether the expression is a polynomial, if it is state how many terms and variables the polynomial contains. then state the degree 7x^2+3x+3

5xy^2 + 15x^2y^2 - 25xy^2 + 65x^2y^2 = 10x^2y^2 + 45xy^2 Factor out the GcF of each polynomial in the equation

5xy^2 + 15x^2y^2 - 25xy^2 + 65x^2y^2 = 10x^2y^2 + 45xy^2 Factor out the GcF of each polynomial in the equation

5xy^2 + 15x^2y^2 - 25xy^2 + 65x^2y^2 = 10x^2y^2 + 45xy^2 Factor out the GcF of each polynomial in the equation

math
i am stuck on this problem! help! Write a quadratic equation that has two solution, 4 and -4. Leave the polynomial in reduced factored form.

Math Help!
1. Find the 4th term in the binomial expansion.(2x + 3y)^6 2. Use synthetic division and the remainder theorem to find P(a). P(x)= x^5 + 3x^4 + 3x − 7; P(-1) 3. Factor the expression on the left side of the equation. Then solve the equation. x^6 + 128x^3 + 4096 = 0 4.) ...

Math
State whether each expression is a polynomial. If the expression is a polynomial, identify it as monomial,a binomial, or a trinomial. 1.1/5y^3+y^2-9 2.6g^2h^3k Are these the right answers? Thanks 1.No 2.Yes, monomials.

polynomials
No to both questions. A polynomial is a sum of at least one integer power of x (or other unknown), each multiplied by a constant. '9' is simply a constant. 2^x is a power of 2, not a power of x. Is 9 a polynomial? Is 2^x a polynomial?

Math - polynomial function
Write a polynomial function with integral coefficients having the given roots. 1.) 0, -1/2, 6 2.) +or- 5i

math
Find a cubic polynomial p(x) so that the solution of p(x) ≤ 0 is [-2,1] or [4,∞). Is your polynomial the only one that gives this solution? Explain.

Algebra Question~!
Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample problem that has a binomial which IS a factor of the polynomial being divided, and another problem that has a binomial which is not a factor of the ...

Math
Use the given information about a polynomial whose coefficients are real numbers to find the remaining zeros of the polynomial. Degree: 6 Zeros: -6 + 13i^3, -8 + s^2i, -3 - 4i

math
A polynomial that has zeros at 1, 2, and 3 with multiplicities of 1, 2, and 3 respectively. -Represent a function that satisfies the given conditions by an equation. Leave in factored form.

Math
Q.1)If one zero of the polynomial 3x2-kx-2 is 2 find the other zero.allso find the value of k. Q.2)If sum of the zeroes of the polynomial x2-x-k(2x-1) is 0,find the value of k Q.3)If 2 and 3 are the zeroes of the polynomial 3x2-2kx+2m find the values of k and m Q.4)Find the ...

Pre Calculus
1. Find all rational zeros of the polynomial. Then determine any irrational zeros, and factor the polynomial completely. 3x^4-11x^3+5x^2+3x 2. Find the polynomial with leading coefficient 1 that has a degree of 4, a zero of multiplicity 2 at x=1 and a zero at x=2+i

Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. 2-11x^2-8x+6x^2. A) -5x^2-8x+2; quadratic trinomial B) -5x^2-8x; quadratic binomial C) -6x^2-8x-2; cubic polynomial D) -8x+2; cubic trinomial

Solve the following polynomial equati
Solve the following polynomial equation for x : x^2 - 2( a+2)x + (a + 1)(a + 3).

Math
Factor the polynomial as the product of factors that are irreducible over the real numbers. Then write the polynomial in completely factored form involving complex nonreal or imaginary numbers. x^4 + 20x^2 -44=0

Algebra
Do I have this right? A first degree polynomial crosses the x axis A second degree polynomial touches the y axis without crosisng A third degree polynomial flattens against the y axis.

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