Write a quadratic equation, in standard form, that has roots 8 and 11.

x² - 19 x + 88

Step-by-step explanation:

Standard form of quadratic equation is

a x² + b x + c = 0

We can factorize this equation

a x² + b x + c = a (x - x₁) · (x - x₂)

where x₁ and x₂ are the roots of the equation

In this case we have roots x₁ = 8 and x₂ = 11

(x - 8) (x - 11) = x² - 11 x - 8 x + (-8) · (-11) = x² - 19 x + 88 = x² - 19 x + 88

x² - 19 x + 88

God with you!