Find trinomial (quadratic expression ), given below , find whethe… - Vidyadip

Question

Find trinomial $ ($quadratic expression $), $ given below $,$ find whether it is factorisable or not. Factorise$, $if possible.$2x^2+ 2x - 75$

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Answer

Given expression $: 2x^2+ 2x - 75$
Comparing with $ax^2 + bx + c,$ we get $a = 2, b = 2$, and $c = - 75$
$\therefore b^2 - 4ac = (2)^2 - 4(2)(-75) = 4 + 600 = 604,$ which is not a perfect square.
$\therefore 2x^2 + 2x - 75$ is not factorisable.

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