[tex]10x^2-7x-12=\\10x^2-15x+8x-12=\\5x(2x-3)+4(2x-3)=\\(5x+4)(2x-3)[/tex]
Answer:
(2x - 3)(5x + 4)
Step-by-step explanation:
Given
10x² - 7x - 12
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 = 10 × - 12 = - 120 and sum = - 7
The factors are - 15 and + 8
Use these factors to split the x- term
10x² - 15x + 8x - 12 ( factor the first/second and third/fourth terms )
= 5x(2x - 3) + 4(2x - 3) ← factor out (2x - 3) from each term
= (2x - 3)(5x + 4) ← in factored form
