Question

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do it..

3x^2+11x-4

Answer 1

Hey mate, here is your answer -:)

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${3x}^{2} + 11x - 4 \\ {3x}^{2} + (12 - 1)x - 4 \\ {3x}^{2} + 12x - x - 4 \\ 3x(x + 4) - 1(x + 4) \\ (3x - 1)( x + 4)$

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HOPE it helps to you!!!

Answer 2

Answer- The above expression needs to be factorised.

⇒ 3x²+11x-4

We will factorize it using Sum-Product method or Middle-Term Splitting.

Sum= +11

Product= 3×-4= -12

Factors of 12= 1×12, 2×6, 3×4

But we need to see that which pair will give the sum or difference as 11 and clearly, it's 1 and 12.

So, sum can be written as 12-1 which is equal to 11.

⇒ 3x²+11x-4

= 3x² + (12-1)x -4

= 3x² + 12x -1x -4

(Finding out the common factors)

= 3x(x+4)-1(x+4)

= (x+4) (3x-1)

So, 3x²+11x-4=  (x+4) (3x-1)

Hope it helps!