Answer:
see explanation
Step-by-step explanation:
To factor the quadratic
2x² + 5x - 3
Consider the product of the factors 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 = + 5
The required factors are + 6 and - 1
Use these factors to split the x- term
2x² + 6x - x - 3 (factor the first/second and third/ fourth terms )
= 2x(x + 3) - 1(x + 3) ← factor out (x + 3)
= (x + 3)(2x - 1)
The factors are (x + 3) and (2x - 1)
