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Factorise :- 2x2 + 7x + 3
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Solution
We can find two numbers such that pq = 2 × 3 = 6 and p + q = 7.
They are p = 6 and q = 1.
Here, 2x2 + 7x + 3 = 2x2 + 6x + x + 3
= 2x (x + 3) + 1 (x + 3)
= (x + 3) (2x+ 1)
Concept: Factorising the Quadratic Polynomial (Trinomial) of the type ax2 + bx + c, a ≠ 0.
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