Question

What is the factor form of x^2-9x+14

Answer 1

(x - 7)(x - 2)

Explanation:

Consider the factors of the constant term (+ 14) which sum to give the coefficient of the x- term (- 9)

The factors are - 7 and - 2, since

- 7 × - 2 = + 14 and - 7 - 2 = - 9, hence

x² - 9x + 14 = (x - 7)(x - 2) ← in factored form

Answer 2

`x^2-9x+14 =x^2-2x-7x+14=x(x-2)-7(x-2)=(x-7)(x-2)`