Question

1.)Two polynomials P and D are given. Use either synthetic or long division to divide

P(x)

by

D(x),

and express P in the form

P(x) = D(x) · Q(x) + R(x).

P(x) = 64x^5 − 16x^4 + 4x^2 − 4, D(x) = 4x^2 − 4x + 1


2.)Two polynomials P and D are given. Use either synthetic or long division to divide

P(x)

by

D(x),

and express P in the form

P(x) = D(x) · Q(x) + R(x).

P(x) = −x^3 − 2x + 4, D(x) = x + 1


3.)Find a polynomial of the specified degree that has the given zeros.

Degree 4; zeros −1, 1, 2, 5

Answer 1

For 3: 6x^4+25x^3+28x^2-x-10

Explanation:

This is the multiplied form of (2x-1)(x+1)(x+2)(3x+5)

Hope this helps lol