# Factoring Worksheet3

In this page factoring worksheet3 we are going to see solution of question 9 to question 12.

Question 9:

Factorize x² + 13 x + 30

Solution:

We dont have any number before square term. So that we can take the last term 30. Then we have to split 30 as two numbers and the simplified value two numbers must be equal to the middle term.

= x² + 13 x + 30

= x² + 10 x + 3 x  + 30

= x(x + 10) + 3 (x  + 10)

= (x + 10) (x  + 3)

Question 10:

Factorize x² + 22 x + 21

Solution:

We dont have any number before square term. So that we can take the last term 21. Then we have to split 21 as two numbers and the simplified value two numbers must be equal to the middle term.

= x² + 22 x + 21

= x² + 21 x + x  + 21

= x(x + 21) + 1 (x  + 21)

= (x + 21) (x  + 1)

Question 11:

Factorize x² + 3 x - 28

Solution:

We dont have any number before square term. So that we can take the last term -28. Then we have to split -28 as two numbers and the simplified value two numbers must be equal to the middle term.

= x² + 3 x - 28

= x² + 7 x - 4 x  - 28

= x(x + 7) - 4 (x + 7)

= (x + 7) (x  - 4)

Question 12:

Factorize x² - x - 30

Solution:

We dont have any number before square term. So that we can take the last term -30. Then we have to split -30 as two numbers and the simplified value two numbers must be equal to the middle term.

= x² - x - 30

= x² - 6 x + 5 x  - 30

= x(x - 6) + 5 (x - 6)

= (x + 5) (x  - 6)

Factoring Worksheet3 to Algebra