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