Question

factorise using middle term split
$2x {}^{2} - 15x + 25$
$3x {}^{2} - x - 14$
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Answer 1

Answer:

• 2x²–15x+25

Here, sum = -15

product= 25×2=50

factors of 50=1,2,5,5

pair of no.s that satisfy this: –10,–5

So, 2x²–10x–5x+25

2x(x–5)–5(x–5)

(2x–5)(x–5)

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• 3x²–x–14

Sum=–1

Product=–14×3=–42

Factors of 42=1,2,7,3

Pair of no.s that satisfy this: –7, 6

So, 3x²+6x–7x–14

3x(x+2)–7(x+2)

(3x–7)(x+2)