Question

Use the zero product property to find the solutions to the equation x^2-15x-100=0

Answer 1

x = -5 or x = 20

Explanation:

There fore the answer is C

Answer 2

`x = 20` or
`x = -5`

Explanation:

To solve the quadratic equation we must factor the expression

Look for 2 numbers that when you multiply them, obtain the result -100 and when you add them, obtain the result -15.

You can verify that these numbers are -20 and 5

`-20 +5 = -15\\\\-20 * 5 = -100`

Then the polynomial factors are

`(x-20) (x + 5) = 0`

The zero product property says that if two terms
`a * b = 0` then

`a = 0` or
`b = 0`

So

`(x-20) = 0` or
`(x + 5) = 0`

`x = 20` or
`x = -5`