Factorise the following quadratic polynomial | vedclass

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Question

(A) To factorise the quadratic polynomial $15x^2 + 7x - 2$ by splitting the middle term,we look for two numbers whose product is $15 	imes (-2) = -30

Vedclass · Accepted Answer

$(3x + 2)(5x - 1)$

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(A) To factorise the quadratic polynomial $15x^2 + 7x - 2$ by splitting the middle term,we look for two numbers whose product is $15 	imes (-2) = -30$ and whose sum is $7$.The two numbers that satisfy these conditions are $10$ and $-3$.Now,rewrite the middle term $7x$ as $10x - 3x$:$15x^2 + 10x - 3x - 2$Group the terms:$(15x^2 + 10x) - (3x + 2)$Factor out the common terms from each group:$5x(3x + 2) - 1(3x + 2)$Finally,factor out the common binomial $(3x + 2)$:$(3x + 2)(5x - 1)$

Factorise the following quadratic polynomial by splitting the middle term:
$15x^2 + 7x - 2$

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Factorise the following quadratic polynomial by splitting the middle term:$15x^2 + 7x - 2$