Question

An x-method chart shows the product a c at the top of x and b at the bottom of x. Below the chart is the expression a x squared + b x + c. What are the factors of x2 – 144? And

Answer 1

Answer:

$(x -12)(x + 12)$

Step-by-step explanation:

Given

See attachment for chart

Required

The factors of $x^2 - 144$

First, express $x^2 - 144$ as $ax^2 + bx + c$

So, we have:

$x^2 - 144 = x^2 + 0x - 144$

Compare the above expression to: $ax^2 + bx + c$

We have:

$ax^2 + bx + c = x^2 + 0x - 144$

So:

$a =1$

$b =0$

$c = -144$

and

$a * c = d * e$

Calculate ac

$a* c = 1 * -144$

$a* c = -144$

Rewrite as:

$a* c = -12 * 12$

Recall that:

$a * c = d * e$

Hence:

$d = -12; e = 12$

So, on the x chart, we have:

        ac

d                  e

        b

This gives:

        -144

-12                  12

        0

The factors are

$(x + d)(x + e)$

$(x -12)(x + 12)$

Answer 2

Answer:

✔ (x – 12)

 and  

✔ (x + 12)

Step-by-step explanation: