Q17: Factor the expression. 3x *squared* −5x−12 Question Q17: Factor the expression. 3x *squared* −5x−12 in progress 0 Math Athena 2 weeks 2021-10-14T03:19:13+00:00 2021-10-14T03:19:13+00:00 2 Answers 0

## Answers ( )

Answer:(x – 3)(3x + 4)

Step-by-step explanation:Given

3x² – 5x – 12

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × – 12 = – 36 and sum = – 5

The factors are – 9 and + 4

Use these factors to split the x- term

3x² – 9x + 4x – 12 ( factor the first/second and third/fourth terms )

3x(x – 3) + 4(x – 3) ← factor out (x – 3) from each term

= (x – 3)(3x + 4) ← in factored form

Answer:(3x + 4)(x – 3)

Step-by-step explanation:3x² – 5x – 12 = (3x + 4)(x – 3)