Question

5. Which of the following linear expressions is a factor of the cubic polynomial x^3 + 9x² +16x-12?

(1) x+6
(3) r-3
(2) x-1
(4) x+2

Answer 1

(1) x+6

Explanation:

Answer 2

(1) x+6

Explanation:

Possible rational zeroes include ±1, ±2, ±3, ±4, ±6, ±12

Check each answer choice with synthetic division:

1 | 1 9 16 -12

__1_10_26

1 10 26 | 14

-2 | 1 9 16 -12

__-2_-14_-4

1 7 2 | -16

-6 | 1 9 16 -12

__-6_-18_12

1 3 -2 | 0

Therefore, x+6 is a factor of the polynomial