Question

Using the tools you learned this lesson (Polynomial Remainder Therom) find the solutions real and nonreal for the polynomial

Answer 1

2x³ - 3x² + 32x + 17 =

(2x + 1)(x²- 2x + 17)

2x + 1 = 0

x = -1/2

x²- 2x + 17 = 0 (This expression can't be factoriced)

So, using the general formula:

$x\text{ = }\frac{2\text{ }\pm\text{ }\sqrt[]{(-2)^2\text{ - 4 x 1 x 17}}}{2}$

x = 1 + 4i and x = 1 - 4i