Question

(PLSS HELP) What is the Quotient of ^??

options
A. X+2
B.x-2
C.X+6
D.x-6

Answer 1

(x³+3x²-4x-12)÷(x²+5x+6)

Doing middle term factorization

(x²(x+3)-4(x+3))÷(x²+3x+2x+6)

Taking common

(x+3)(x²-4)÷(x(x+3)+2(x+3)

(x+3)(x+2)(x-2)÷(x+3)(x+2)

x-2

B.x-2is a required answer.

Answer 2

• B. x - 2

Explanation:

Without checking it is x - 2 as -12/6 = -2

Lets verify by multiplication:

• (x - 2)(x² + 5x + 6) =
• x³ + 5x² + 6x - 2x² - 10x - 12 =
• x³ + 3x² - 4x - 12

Confirmed