Question

Factor the polynomial completely using the

X method.

x2 + 11x + 24
An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression x squared + 11 x + 24.
The value of ac is
.

The value of b is
.

The equivalent factored form of the polynomial is
.

Answer 1

The value of ac is

✔ 24

.

The value of b is

✔ 11

.

The equivalent factored form of the polynomial is

✔ (x + 3)(x + 8)

.

Answer 2

9514 1404 393

Answer:

• ac = 24
• b = 11
• (x +8)(x +3)

Explanation:

In your expression, you have ...

a = 1

b = 11

c = 24

Then ac = (1)(24) = 24, and b = 11. The chart looks like the attached.

The numbers on the side have a sum equal to the bottom number (11) and a produce equal to the top number (24). These are the constants in the binomial factors, so the factored form is ...

(x +8)(x +3) . . . . equivalent factored form