In this page factoring worksheet1 we are going to see solution of question 1 to question 4.

**Question 1:**

Factorize x² + 5 x + 6

**Solution:**

We dont have any number before square term. So that we can take the last term 6. Then we have to split 6 as two numbers and the simplified value two numbers must be equal to the middle term.

= x² + 5 x + 6

= x² + 2 x + 3 x + 6

= x(x + 2) + 3 (x + 2)

= **(x + 2) (x + 3)**

**Question 2:**

Factorize x² - 2 x - 15

**Solution:**

We dont have any number before square term. So that we can take the last term -15. Then we have to split -15 as two numbers and the simplified value two numbers must be equal to the middle term.

= x² - 2 x - 15

= x² - 5 x + 3 x - 15

= x(x - 5) + 3 (x - 5)

= **(x - 5) (x + 3)**

**Question 3:**

Factorize x² - 4 x + 3

**Solution:**

We dont have any number before square term. So that we can take the last term 3. Then we have to split 3 as two numbers and the simplified value two numbers must be equal to the middle term.

= x² - 4 x + 3

= x² - x - 3 x + 3

= x(x - 1) - 3 (x - 1)

= **(x - 1) (x - 3)**

**Question 4:**

Factorize y² - 21 y - 72

**Solution:**

We dont have any number before square term. So that we can take the last term -72. Then we have to split 3 as two numbers and the simplified value two numbers must be equal to the middle term.

= y² - 21 y - 72

= y² - 24 y + 3 y - 72

= y(y - 24) + 3 (y - 24)

= **(y - 24) (y + 3)**