(x + 5) is a factor of x2 + 2x – 15. What is the other factor?

(x-3)

Step-by-step explanation: First look what which two numbers would multiply to -15 and add to 2. In this case, it's 5 and -3 because 5x-3=15 and 5+(-3)=2.

So the other factor is (x-3)

To check your work, simply multiply

(x+5)(x-3) = x2 + 2x - 15

The sequence is adding by 6. So, the terms are: -3, 3, 9, 15, 21, 27. expression: 3 + 6 * (n-1)

132 is not in the sequence. I used the guess and check method to figure this out. I started off by guessing that if 132 was in the sequence, it would be the 22nd term. So, I filled in the equation by making 22 equal n. This got me 123. From here, I added 6 to get the 23rd term. This got me 129, which still wasn’t high enough. Then I added 6 again to get the 24th term, which was over 132, which proved that 132 was not in this sequence.