Answer:
(x + 2)(3x - 5)
Explanation:
Given
3x² + x - 10
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 = 3 × - 10 = - 30 and sum = + 1
The factors are + 6 and - 5
Use these factors to split the x- term
3x² + 6x - 5x - 10 ← factor by grouping first/second and third/fourth terms
= 3x(x + 2) - 5(x + 2) ← factor out (x + 2) from each term
= (x + 2)(3x - 5)