Answer:
(2x + 3)(x - 5)
Explanation:
2x² - 7x - 15
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 × - 15 = - 30 and sum = - 7
the factors are - 10 and + 3
use these factors to split the x- term
2x² - 10x + 3x - 15 ( factor the first/second and third/fourth terms )
= 2x(x - 5) + 3(x - 5) ← factor out (x - 5) from each term
= (2x + 3)(x - 5) ← in factored form
Blank 1 is 3
Blank 2 is 5