Factorise $7x^2+128x+36$.

Given:

The given expression is $7x^2+128x+36$.

To do:

We have to factorise the given expression.

Solution:

$7x^2+128x+36$

We can find the factorisation of the given expression by splitting the middle term.

Here, $126\times2=36\times7=252$ and $126+2=128$.

Therefore,

$7x^2+128x+36$

$=7x^2+126x+2x+36$

$=7x(x+18)+2(x+18)$

$=(7x+2)(x+18)$

Tutorialspoint

Updated on: 10-Oct-2022

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