In factorization of quadratic trinomials there are two forms:
(i) First form: x^{2} + px + q(i) Factorization of trinomial of the form x^2 + px + q:
Suppose we are given a quadratic trinomial x^{2} + px + q.Solved examples on factorization of quadratic trinomials of the form x^2 + px + q:
1. Factorize the algebraic expression of the form x^{2} + px + q: = x(x  4) 3 (x 
4)
= (x  4)(x  3).
= x(x +5)  3(x + 5)
= (x + 5) (x  3)
(ii) Factorization of trinomial of the form ax^2 + bx + c:
In order to factorize the expression ax^{2} + bx + c we have to find the two numbers p and q, such thatp + q = b and p × q = ac
Solved examples on factorization of quadratic trinomials of the form ax^2 + bx + c:
2. Factorize the algebraic expression of the form ax^{2} + bx + c: = 5x(3x  4)  2(3x  4)
= (3x  4)(5x  2).
= q(3q – 4) + 1(3q – 4)
= (3q – 4)(q + 1)
8th Grade Math Practice
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