Question

2m² - 19m + 24
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Answer 1

Answer:

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Answer 2

Given :

2m² - 19m + 24

To Find :

To factorise 2m² - 19m + 24

Solution :

In order to factorise 2m² - 19m + 24, we need to find two numbers whose sum is 19 and the product is 48

∴ 2m² - 19m + 24

The middle term is −19m. We have to split −19m so that the obtained numbers, when multiplied together, give 48.

Thus −19m can be written as  −(16 + 3)m

∴ 2m² - 19m + 24

= 2m² - (16 + 3)m + 24

= 2m² - 16m - 3m + 24

= 2m(m - 8) - 3(m - 8)

= (2m-3)(m-8)