Answer:
B
Explanation:
To factor the quadratic
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 × 4 = 8 and sum = 9
The factors are + 8 and + 1
Use these factors to split the x- term
2x² + 8x + x + 4 (factor the first/second and third/fourth terms )
2x(x + 4) + 1(x + 4) ← factor out (x + 4)
= (x + 4)(2x + 1) = (2x + 1)(x + 4) → B