Question

Tyra rewrote the quadratic equation 2²10x-24 as a product of polynomials. Her work is shown:

Step 1: x²-10x-24
Step 2: x²-4x-6x-24
Step 3:(x²-4x)+(-6x-24)
Step 4:x(x-4)-6(x-4)
Step 5:(x-4)(x-6)

Tyra made an error when rewriting the quadratic equation as a product of polynomials. [DROP DOWN 1] is the step where Tyra made the mistake. [DROP DOWN 2] is the correct product of polynomials.

Answer 1

Tyra made a mistake in Step 4 while factoring the quadratic equation. The correct product of polynomials is (x-4)(x+6).

Step-by-step explanation:

Tyra made the mistake in Step 4, where she incorrectly factored the quadratic equation. Instead of factoring as x(x-4)-6(x-4), she should have factored it as (x-4)(x+6).

The correct product of polynomials is (x-4)(x+6).