Answer:
2x + 3
Step-by-step explanation:
Given
2x² + 5x + 3
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 × 3 = 6 and sum = 2 + 3 = 5
The factors are 2 and 3
Use these factors to split the x- term
2x² + 2x + 3x + 3 ( factor the first/second and third/fourth terms )
= 2x(x + 1) + 3(x + 1) ← factor out (x + 1) from each term
= (x + 1)(2x + 3) ← in factored form
Thus the other factor is (2x + 3)
