Question

Factorise using middle-term splitting:
i) 12x²–7x+1


Please tell me with full explanation..(class 9 ncert question)​

Answer 1

Answer:

12x²-7x+1

By spliiting the middle term method.

we must get two numbers which when added we get -7(Coefitient of x) and when multiplied we must get 12 (Product of cofeftint of x² and constant).

i.e -3 , -4

when added we get -7

when multiplied we get 12

so, 12x²-4x-3x+1

=>4x(3x-1)-1(3x-1) (Taking like terms in common)

=>4x-1(3x-1) [Taking 3x-1 common]

Hence the simplest form of 12x²-7x+1 is 4x-1(3x-1).

Answer 2

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