- f(x) = 2x + 8x? – 5x + 5; g(x) = x – 2

Q: Find the remainder when f(x) = x3 - 4x2 - 5 is divided by (a) x - 3 (b) x + 2

A: We have to find remainder when fx=x3-4x2-5 is divided by: a x-3  b x+2 We know from remainder…

Q: factor when possible. if a polynomial is prime say so x2-8x+12 =

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Q: Use the Remainder Theorem to completely factor p(x) = x3 + 7x2 + 11x + 5.

A: According to remainder theorem, any polynomial P(x) is divided by (x-a), then the P(a) will be the…

Q: Find the remainder when 6x3 – 10x + 1 is divided by a) x – 2 b) x + 3 c) 2x – 1 please assist with…

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Q: Find the remainder when the polynomial 2x* – 5x³ + 12x – 7 is divided by (x – 1). A. 2 В. — 12 С. —…

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Q: A polynomial function P is given. P(x) = −x3 + 5x2 + 14x (a) Express the function P in factored…

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Q: What is the degree of this polynomial? f(x)= 5x5-2x7+12x2+38

A: Degree of polynomial

Q: Find the remainder R when is divided by .Is g a factor of f?

A:

Q: factor h(x)=10x^3-3x^2-51x-10

A: To factorhx=10x3-3x2-51x-10

Q: Use the Remainder Theorem to find the remainder when f(x) is divided by x-c f(x)= 5x6-3x3+8; x+1

A: The remainder theorem states that whenever polynomial function f(x) is divided by (x− c) the…

Q: The polynomial function g (x) = 3x³ +11x? – 14x – 40 has a known factor of (3x +5). Rewrite g(x) as…

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Q: Find the value by substituting the given value of x into the polynomial and simplifying. P(x) = 4x4…

A:

Q: find the remainder R when f(x) is divided by g(x). Is g a factor of f?

A: fx=12x6-8x4+1    at  x=4

Q: For what value of k will the remainder be zero? (x3 – 8x2 + x + k) ÷ (x – 8)

A: we have to find the value of k such that remainder becomes 0.

Q: The profit function for a product is given by P(x) = -x3 + 2x2 + 400x - 400, where x is the number…

A: Given P(x) = -x3+2x2+400x-400and profit = $400∴Solve for x ⇒ - x3+2x2+400x-400=400

Q: Use the remainder theorem to determine if X=-7 is a solution of the polynomial F(x)=3x^2 + 2x^2 -…

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Q: snip

A: fx=x3-4x2-5

Q: Use the Remainder Theorem to find the remainder R on the equations. (2x3 – 5x2 – 7x – 6) ÷ (x – 2)…

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Q: Find the remainder when P(x) = 8x4 - 2x3 + x - 8 is divided by x + 2.

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Q: given P (x) = x³ + 4x²-5x + 6.Find the polynomial coefficients Q (x) = ax² + bx + c and the value of…

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Q: Factor the polynomial function and sketch its graph. f(x)=Dx³-7x2+10x

A: We have to find the factor of f(x)=x3-7x2+10x.

Q: Completely factor the polynomial f(x) = x +7x? + 10x.

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Q: When factoring a polynomial of the form x2 − bx + c, pick an appropriate combination of signs.

A: Factoring of a polynomial

Q: Find the zeroes of p(x) = x² + 5x + 6.

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Q: Given P(x), use the Remainder Theorem to find P(5). P(x) = x4 - 2x3 + 2x2 – 4x

A:

Q: Find the remainder R when is divided by .Is g a factor of f?

A: Given,

Q: Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x) and…

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Q: Q3//A/By using co- factor 1 -2- if AD find A1 =? %3D 3. 2-

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Q: The polynomial p(x) = 6x4 - ax3 - bx2 + 28x + 12 where a and b are constant, has factors (x+2) and…

A: The given polynomial is p(x)=6x4-ax3-bx2+28x+12 since x+2 is the factor so x=-2 will make the…

Q: Find the value of k so that the remainder is 4 when x – kx² + 2x – 8 | is divided by x + 3.

A: According to reminder theorem, if a polynomial p(x) is divided by the binomial (x—a) then the…

Q: Find all the zeros of the Polynomial Function P (x) = 6x* + x³ – 13x? – 2x + 2. |

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Q: Find the value by substituting the given value of x into the polynomial and simplifying. P(x) = 4x3…

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Q: Find the value of k such that the remainder when f(x) = 2x3 + kx2− 3kx + 2 is divided by x − 3 is…

A: Find the value of k such that the remainder when f(x) = 2x3 + kx2− 3kx + 2 is dividedby x − 3 is 5.

Q: Use the Remainder theorem to find the remainder when f(x) = x3 + 3x? – 18x - 40 is divided by x- 2.…

A: According to reminder theorem, if a polynomial f(x) is divided by (x-a), then the  reminder is the…

Q: x² (x - 1) + y² (x – 1)

A: The given polynomial is, x2×(x-1)+y2×(x-1) The GCF of a polynomial is the greatest common factor of…

Q: nf(x) = 2x³ + kæ – 9, and the remainder %3D -

A: we have been given f(x)=2x3+kx-9  , remainder when f(x) is divided by x-2 is 23

Q: The problem involve the Remainder Theorem.

A: The general form of polynomial equation is Px=anxn+an-1xn-1+.....+a3x3+a2x2+a1x+a0  , where…

Q: Find m so that x + 4 is a factor of 5x3 + 18x2 + mx+ 16

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Q: Use the Remainder Theorem to find the remainder when divided by the corresponding binomial. 1. x3 +…

A: As per our guidelines we are supposed to solve only one question

Q: Find the remainder when f(x) is divided by x- k. 3) f(x) =x³ – 13x² + 15x + 14 k =-1

A: follow next step

Q: Determine the degree of the polynomial P(x) and arrange the terms in decreasing order. 6x + 6x2 – 4…

A: To determine the degree of the given polynomial

Q: Find the remainder R when f(x) is divided by g(x). Is g a factor of f ? f(x) = 8x3 - 3x2 + x + 4;…

A: Given: f(x) = 8x3- 3x2 + x + 4; g(x) = x - 1

Q: Find the remainder R when f(x) is divided by g(x). Is g a factor of f ? f(x) = x4 - 2x3 + 15x - 2;…

A: f(x) = x4 - 2x3 + 15x - 2;    g(x) = x + 2

Q: Factor the given polynomial y=x4+x³-11x² - 5x + 30 )( x + |)(x². y=(x- -2 3 2 4 1 -3 2-5

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Q: Factor the polynomial completely f(x) =x^4-4x^3-8x^2+12x+15

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Q: The polynomial function q(x) = 3x + 11x2 - 14x- 40 has a known factor of (3x+5). Rewrite g(x) as the…

A: Given, polynomial function qx=3x3+11x2−14x−40 and known factor 3x+5 To write: qx as the product of…

Q: Find the valuecof k ,so that the equation 2x2+kx-5=0 and x2-3x-4=0 have one root in common

A: Any equation of form ax2+bx+c=0 is a quadratic equation as the highest exponent of a variable is 2…

Q: Factor out the GCF from the given polynomial y(x+1)+3(x+1)

A: The given expression is y(x+1)+3(x+1)   Known fact: The greatest common factor or GCF is the largest…

Q: find the number of units that will give a profit of 60,000 when the profit function is p(x)=…

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.