In this page factoring worksheet2 we are going to see solution of question 5 to question 8.

**Question 5:**

Factorize x² + 6 x + 5

**Solution:**

We dont have any number before square term. So that we can take the last term 5. Then we have to split 5 as two numbers and the simplified value two numbers must be equal to the middle term.

= x² + 6 x + 5

= x² + 1 x + 5 x + 5

= x(x + 1) + 5 (x + 1)

= **(x + 1) (x + 5)**

**Question 6:**

Factorize x² + 2 x - 35

**Solution:**

We dont have any number before square term. So that we can take the last term -35. Then we have to split -35 as two numbers and the simplified value two numbers must be equal to the middle term.

= x² + 2 x - 35

= x² + 7 x - 5 x - 35

= x(x + 7) - 5 (x + 7)

= **(x + 7) (x - 5)**

**Question 7:**

Factorize x² - 6 x - 7

**Solution:**

We dont have any number before square term. So that we can take the last term -7. Then we have to split -7 as two numbers and the simplified value two numbers must be equal to the middle term.

= x² - 6 x - 7

= x² - 7 x + x - 7

= x(x - 7) + 1 (x - 7)

= **(x - 7) (x + 1)**

**Question 8:**

Factorize x² - 18 x + 65

**Solution:**

We dont have any number before square term. So that we can take the last term 65. Then we have to split 65 as two numbers and the simplified value two numbers must be equal to the middle term.

= x² - 18 x + 65

= x² - 3 x - 15 x + 65

= x(x - 3) - 15 (x - 3)

= **(x - 3) (x - 15)**