Question

Factor as the product of two binomials

(x^2 - 10x + 21)​

Answer 1

Explanation:

x^2-10x+21

(x-7)(x-3)

find the 2 numbers that when multiplied make the last number or +21 and when combined make the middle number of -10. -7*-3 = 21 and -7+-3=10

Answer 2

(x - 7)(x - 3)

Explanation:

Given

x² - 10x + 21

Consider the factors of the constant term (+ 21) which sum to give the coefficient of the x- term (- 10)

The factors are - 7 and - 3 , since

- 7 × - 3 = + 21 and - 7 - 3 = - 10, thus

x² - 10x + 21 = (x - 7)(x - 3) ← in factored form