MATHEMATICS FORM 2 TOPIC 2: ALGEBRA
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.
Factorize the expression 5a+5b.
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).
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).
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
factorize 3x2 – 2x – 8 by splitting the middle term.
factorize x2 + 10x + 25 by splitting the middle term.
Factorization by Inspection
factorize x2 + 3x + 2 by inspection.
factorize 4x2 + 5x – 6 by inspection.
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