Identify the factors of x² - 8x - 20 = 0

Solution:

Given quadratic equation x² - 8x - 20 = 0 is in the form of ax² + bx + c = 0

Solving the equation by factorizing

We know the roots of the general form ax² + bx + c = 0 are α and β as the sum of its roots (α + β) = -b/a , and the product of its roots (αβ) = c/a .

Now,

First split the middle term -8x into -10x and +2x as -10x + 2x = -8x and

(-10x)(2x)= -20x²

=> x² - 8x - 20 = 0

=> x² - 10x + 2x - 20 = 0

=> x(x - 10) +2(x - 10) = 0

=> (x + 2)(x - 10) = 0

=>∴ The factors are (x+2) and (x-10)

Identify the factors of x² - 8x - 20 = 0

Summary:

The factors of the given quadratic equation x² - 8x - 20 = 0 are (x + 2) and (x - 10).