Question

What are the zeros of x^2-x-6

Answer 1

Explanation:

Sum = coefficient of x = -1

Product = constant = -6

Factors = 2 , (-3)

{2 + (-3) = -1 & 2*(-3) = -6}

x² - x - 6 = 0

x² - 3x + 2x - 6 = 0

x(x - 3) + 2(x - 3) = 0

(x - 3)(x + 2) = 0

x -3 = 0 ;x + 2 = 0

x = 3 ; x = -2

Zeros are 3 , -2