Question

factorise (m²-2m-120)​

Answer 1

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Explanation:

the given equation is in the form of a quadratic equation so we simply factorise it and hence find roots.

How to factorise.??

step1: Multiply the constant term coefficient of x square.suppose we obtain 'z' after multiplying

step 2:Think of a number whose sum and product makes the 'z'

step 3: now split the middle term by that number which you think.

step 4:At last take common and compare with equal to 0 we obtain the roots .

${m}^{2} - 2m - 120$

$= > {m}^{2} - 12m + 10m - 120$

$= > m(m - 12) + 10(m - 12)$

$= > (m + 10)(m - 12) = 0$

$= > m + 10 = 0$

$\bold{m = - 10}$

$= > m - 12 = 0$

$\bold{ m = 12}$