Question

Shenika factored the polynomial completely. What is the value of A?

5x3+35x2+6x+42

(5x2+A)(x+B)

1
5
6
7

Answer 1

A = 6
B = 7

(5x^2+6)(x+7)

Answer 2

A = 6

Explanation:

Given

5x³ + 35x² + 6x + 42 ( factor the first/second and third/fourth terms )

= 5x²(x + 7) + 6(x + 7) ← factor out (x + 7) from each term

= (x + 7)(5x² + 6) ← in factored form

Thus

(5x² + 6) → (5x² + A) ⇒ A = 6