Question

- 100 points -

Use synthetic division to completely factor:
y= x^3 + 3x^2 - 13x - 15 by x + 5

A - y = (x+5)(x+3)(x-1)
B - y = (x+5)(x+3)(x+1)
C - y = (x+5)(x-3)(x-1)
D - y = (x+5)(x-3)(x+1)

Answer 1

B

Step-by-step explanation:

Answer 2

D) - y = (x + 5)(x - 3)(x + 1).

Step-by-step explanation:

Table in this case would look like this:

Write coefficients of x³, x² ,x and the constant in a row and divisor would be the x value obtained by equation x + 5 = 0.

The sequence of multiplications would be as shown in picture.

x² - 2x - 3

x² - 3x + x - 3

x(x - 3) + 1(x - 3)

(x + 1)(x - 3)(x + 5).