Question

Use the Zero Product Property and factoring, when necessary, to solve for x.

Solve only part e and c.

Answer 1

c.
`x = 0` and
`x = 3`

e.
`x = -5` and
`x = 7`

Explanation:

In part c, the equation is already factored out so we can directly apply the Zero Product Property.

In part e, we have to rewrite the left side of the equation into its factored form so that we can then finally apply the Zero Product Property in finding the value of
`x`. Here's how I do it:

`x^2 -2x -35 = 0 \\ x^2 +5x -7x -35 = 0 \\ (x^2 +5x) +(-7x -35) = 0 \\ x(x +5) -7(x +5) = 0 \\ (x +5)(x -7) = 0`