Question

Which expression is equivalent to 2x^(2)+11x+5

Answer 1

Answer:

(x + 5)(2x + 1)

Step-by-step explanation:

Given

2x² + 11x + 5

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

product = 2 × 5 = + 10 and sum = + 11

The factors are + 10 and + 1

Use these factors to split the x- term

2x² + 10x + x + 5 ( factor the first/second and third/fourth terms )

= 2x(x + 5) + 1 (x + 5) ← factor out (x + 5 from each term

= (x + 5)(2x + 1) ← in factored form