Factorise the following quadratic polynomial | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

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

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

Vedclass · Answer

(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:
$15x^2 + 7x - 2$

Similar Questions

Find the remainder when $x^{3}-ax^{2}+6x-a$ is divided by $x-a$.

Factorise: $x^{3}-2x^{2}-x+2$

Factorise $x^{3}-23 x^{2}+142 x-120$

Find the quotient and the remainder when $x^{3}+x^{2}-10x+8$ is divided by $x-1$.

Check whether $p(x)$ is a multiple of $g(x)$ or not,where $p(x) = x^{3} - x + 1$ and $g(x) = 2 - 3x$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module

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