Math, asked by kalathyvasan, 1 year ago

factorise 6xpower 2 +5x-6

Answers

Answered by Gautam22121998
3
6x²+5x-6
=6x²+ 9x-4x-6
=3x(2x+3)-2(2x+3)
=(3x-2)(2x+3)
Answered by ramaanjaneyulu2
0
Factor 6x^2+5x-6

6x2+5x−66x2+5x-6

Factor by grouping.

For a polynomial of the form ax2+bx+cax2+bx+c, rewrite the middle term as a sum of two termswhose product is a⋅c=6⋅−6=−36a⋅c=6⋅-6=-36 and whose sumis b=5b=5.

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6x2−4x+9x−66x2-4x+9x-6

Factor out the greatest common factor from each group.

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2x(3x−2)+3(3x−2)2x(3x-2)+3(3x-2)

Factor the polynomial by factoring out the greatest common factor, 3x−23x-2.

(3x−2)(2x+3)

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