81699
AssignmentMultiple Choice

Solving Quadratic Equations: Factoring

Question 81699 • FL-1200700-Mathematics for College Algebra MIS

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

Answer
A
The equation x – 4 = 16 can be used to solve for a solution of the given equation.
B
The standard form of the equation is x2 – 2x – 8 = 0.
C
The factored form of the equation is (x + 4)(x – 6) = 0.
D
One solution of the equation is x = –6.

Explanation

Expand the left side: (x – 4)(x + 2) = x² – 2x – 8. Subtract 16 from both sides to write the equation as x² – 2x – 24 = 0, which factors as (x + 4)(x – 6) = 0. Therefore, choice C gives the correct factored form.

AI-written and checked against the verified answer.

Previous
Next