Question

4. Factor the expression completely.

6×3- 4×2 – 16x

A. 0
B. 2x(3×2 – 2x – 8)
C. 2x(3x + 4)(x – 2)
D. 4x(2x + 1)(x – 4)
E. 2x(2×2 + 7x – 4)

Answer 1

6x³ - 4x² - 16x

To factorize the expression first factor out the GCF out

The GCF in the expression is 2x

2x( 3x² - 2x - 8)

Next, Factorize the terms in the bracket

To factorize write - 2x as a difference

2x( 3x² + 4x - 6x - 8)

Factor out x from the expression

2x [ x( 3x + 4) - 6x - 8 ]

Next factor out - 2 from the expression

2x [ x ( 3x + 4) - 2( 3x + 4) ]

Factor out 3x + 4 from the expression

The final answer : 2x( 3x + 4)( x - 2)

Letter C