That is we split b into two parts m and n whereas sum m and n = b and product m and n = ac.
Solved examples to factorize the trinomial ax square plus bx plus c (ax^2 + bx + c):
1. Resolve into factors:
(i) 2x^{2} + 9x + 10
Solution:
= x(2x + 5) + 2(2x + 5)
= (2x
+ 5)(x + 2).
= 3x (2x + 3) -1 (2x + 3)
= (2x + 3)(3x - 1).
2. Factorize the trinomial:
(i) 2m^{2} +7m + 3= m(2m + 1) + 3(2m + 1)
= (2m +1)(m + 3)
= 3x(x - 2) +2(x - 2)
= (x - 2)(3x + 2).
8th Grade Math Practice
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