Question

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.

Answer 1

C: on ed

Explanation:

Answer 2

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

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