Answer to Question #54825 in Calculus for Katie

Question

1. (An Intermediate Algebra review exercise) Use polynomial long division to perform the indicated division. Write the polynomial in the form
p(x) = d(x)q(x) + r(x).
(9x4 − 3x3 + 2x2 − 9) ÷ (x2 + 4)
p(x) =

2.Use polynomial long division to perform the indicated division. Write the polynomial in the form
p(x) = d(x)q(x) + r(x).
(−x5 + 8x3 − x) ÷ (x3 − x2 + 8)
p(x) =

3. For the polynomial given below, you are given one of its zeros. Use the techniques in this section to find the rest of the real zeros. (Enter your answers as a comma-separated list.)
x3 − 6x2 + 11x − 6, c = 1
x =

Factor the polynomial.


4.For the polynomial given below, you are given one of its zeros. Use the techniques in this section to find the rest of the real zeros. (Enter your answers as a comma-separated list.)
x3 − 12x2 + 48x − 64, c = 4
x =

Factor the polynomial.