Solving a Quadratic Equation

Which statement is true about the equation (x - 4) (x + 2) = 16?

O The equation x - 4 = 16 can be used to solve for a solution of the given equation.

The standard form of the equation is x2 - 2x - 8 = 0.

O The factored form of the equation is (x + 4) (x - 6) = 0.

o One solution of the equation is x = - 6.

C: on ed

The factored form of the equation is (x + 4) (x - 6) = 0.

Step-by-step explanation:

(x - 4) (x + 2) = 16

Foil the left side

x^2 + 2x-4x-8 = 16

Combine like terms

x^2 - 2x-8 = 16

Subtract 16 from each side

x^2 - 2x-8-16 = 16-16

x^2 - 2x-24 = 0

Factor the left hand side

What two numbers multiply to - 24 and add to - 2

-6*4 = -24

-6+4 = - 2

(x-6) (x+4) = 0

Solving using the zero product property

x-6 = 0 x+4=0

x=6 x=-4