Question

Solve.

0 = x² + 8x + 15

Enter your answers in the boxes.

The solutions are _____
and _____.

Answer 1

x²+8x+15=0
(x+5)(x+3)=0
The solutions are -3 and -5.

Answer 2

For this case we have the following polynomial:

$0 = x ^ 2 + 8x + 15$

We can rewrite the polynomial by factoring the expression.

We have then:

$(x + 3) (x + 5) = 0$

From here, we look for the solutions of the polynomial.

We have then:

Solution 1:

$x + 3 = 0 x = -3$

Solution 2:

$x + 5 = 0 x = -5$

Answer:

The solutions of the polynomial are given by:

$x = -3 x = -5$