# MATHEMATICS FORM 2 TOPIC 2: ALGEBRA

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**ALGEBRA**

Linear Expressions

Factorize linear expressions

The operation of resolving a quantity into factors, when we expand expressions, is done by removing the brackets. The reverse operation is Factorizing and it is done by adding brackets.

Example 11

Factorize the expression 5a+5b.

**Solution**

In factorization of 5a+5b, we have to find out a common thing in both terms. We can see that the expression 5a+5b, have got common coefficient in both terms, that is 5. So factoring it out we get 5(a+b).

**Example 12**Factorize 18xyz-24xwz

**Solution**

Factorizing 18xyz-24xwz, we have to find out highest common factor of both terms. Then factor it out, the answer will be 9xz(2y-3w).

### Quadratic Expressions

Factorize quadratic expressions

When we write the quadratic expression as a product of two factors we say that we have factorized the expression. We are going to learn two methods used to factorize quadratic expressions. These methods are factorization by Splitting the middle term and factorization by Inspection.

**Factorization by splitting the middle term**

**Example 13**factorize 3x

^{2}– 2*x*– 8 by splitting the middle term.Solution

Example 14

factorize x

^{2}+ 10x + 25 by splitting the middle term.**Factorization by Inspection**

Example 15

factorize x

^{2}+ 3*x*+ 2 by inspection.Example 16

factorize 4x

^{2}+ 5*x*– 6 by inspection.Exercise 1

Factorization Exercise;

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