Answer:
A
Explanation:
Given
4x² + 12x + 9
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 = 4 × 9 = 36 and sum = 12
The factors are 6 and 6
Use these factors to split the x- term
4x² + 6x + 6x + 9 ( factor the first/second and third/fourth terms )
= 2x(2x + 3) + 3(2x + 3) ← factor out (2x + 3) from each term
= (2x + 3)(2x + 3)
= (2x + 3)² → A