5. Use long division to find the quotient Q(x) and remainder R when f(x) is divided by g(x). f(x)=x²+2x-4, g(x)=x-1.

Q: Let f(x) = 5x² to f(6 + h). ƒ(6 + h) − ƒ(6) = 6x + 6. If f(6) = 150 and h = 5, determine the amount…

A: Given function:- fx=5x2-6x+6

Q: 1. Express the polynomial f(x) = 4x3 – 5x2 + 2x – 3 as a power of x + 2.

A:

Q: 4. Find the Factors of the function. f(x) = x* - x³ +3x? -9x-54 zero: x = 3

A: Given query is to find find the factors of the expression.

Q: Find all the factors of f (x) = x³ – 4x² + x + 6.

A: GIVEN: f(x) = x3 - 4x2 + x + 6

Q: finde the difference quotient of f(x)= x2-2x-3 in simplest form

A: Known fact:The difference quotient is computed using the formula is m=( f(x+h) - f(x))/h.

Q: Let f(x) = 4x + 2 and g(x) 5x2 + 4x. After simplifying, (f9)(x) –

A:

Q: express f(x) =x³+2x²-x-3 , in term of lagendre polynomial

A: To express the given function f(x)=x3 +2x2 -x-3 in terms of Lagendre polynomial.

Q: given f(x)=20x3-23x-4, evaluate f(1/2) using synthetic division.

A:

Q: 8. Find one zero of the polynomial f(x)=2x-x-6x+3 %3D

A: Given function is: Apply rational root theorem to get roots of polynomial. If the polynomial has a…

Q: . For f(x) = 5x - 8 and g(x) = x2 - 3x + 4, find (g - f)(x)

A: given,         f(x)= 5x - 8gx=x2-3x+4

Q: 5) Use long division to find the quotient Q(x) and remainder R(x). P(x) = 6x³ 2x² + 4x - 1 and d(x)…

A:

Q: Given f(x)=x^4-2x^3+28x^2-4x+52, and that 1+5i is a zero of f(x). Find all the zeros.

A: Given f(x)=x^4-2x^3+28x^2-4x+52, and that 1+5i is a zero of f(x).Find all the zeros.

Q: et f(x) = 2x³ 4x² + x - 1 23 a) Use division to rewrite the function as individual terms with…

A:

Q: 3. State the remainder when f(x) = 2x² −x³ +1 is divided by (x+1).

A: We can find the remainder as below.

Q: Consider f (x) = 2x* – x3 – 5x2 + 2x + 2. 1. List all possible zeros (candidates) for f(x). 2.…

A: 1.Given, f(x)=2x4-x3-5x2+2x+2 All possible rational zeros=Factors of constant term 2 Factors of…

Q: use long division to divide f(x)=x5 ─4x3 +x by x+3.

A: