Question

Step : You should now have four terms Directions: Factor each polynomial. 2x2 + 17x + 21

Answer 1

Answer:

(x + 7)(2x + 3)

Step-by-step explanation:

Given

2x² + 17x + 21

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

product = 2 × 21 = 42 and sum = + 17

The factors are + 14 and + 3

Use these factors to split the x- term

2x² + 14x + 3x + 21 ( factor the first/second and third/fourth terms )

= 2x(x + 7) + 3(x + 7) ← factor out (x + 7) from each term

= (x + 7)(2x + 3) ← in factored form