Question

A student performed the following steps to find the solution to the equation x^2 + 14x + 40 = 0. Where did the student go wrong?

Step 1. Factor the polynomial into (x + 4) and (x + 10)
Step 2. x + 4 = 0 or x + 10 = 0
Step 3. x = -4 or x = 10

A. In step 3

B. The student did not make any mistakes, the solution is correct

C. In step 1

D. In step 2

Answer 1

A . In Step 3.

Explanation:

In step 3 the student went wrong

x = 4 or x = -10 is correct

( if x + 10 = 0, then x = -10)

Answer 2

A. in Step 3

Explanation:

It is factored correctly. Then separated into two smaller equations correctly. But in solving x + 10 = 0, there is an error.

x + 10 = 0

Add -10 to both sides.

x = -10

So, the error is in step 3.