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Factorisation — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSFactorisation2 Marks
Question
Find trinomial $($quadratic expression$),$ given below$,$ find whether it is factorisable or not. Factorise$,$ if possible.$3x^2+ 4x - 10$
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Answer

Given expression : $3x^2+ 4x - 10$
Comparing with $ax^2 + bx + c$, we get $a = 3, b = 4$, and $c = -10$
$\therefore b^2 - 4ac = (4)^2 - 4(3)(-10) = 16 + 120 = 136,$ which is not a perfect square.
$\therefore 3x^2 + 4x - 10$ is not factorisable.

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