Question

Factorise 6p^2+11-10

Answer 1

Factor 6x^2+11x-10

6x2+11x−106x2+11x-10

Factor by grouping.

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For a polynomial of the form ax2+bx+cax2+bx+c, rewrite the middle termas a sum of two terms whose productis a⋅c=6⋅−10=−60a⋅c=6⋅-10=-60 and whose sum is b=11b=11.

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6x2−4x+15x−106x2-4x+15x-10

Factor out the greatest common factor from each group.

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2x(3x−2)+5(3x−2)2x(3x-2)+5(3x-2)

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

(3x−2)(2x+5)

Answer 2

Your Answer
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$= 6 {p}^{2} + p(15 - 4) - 10 \\ \\ = 6 {p}^{2} + 15p - 4p - 10 \\ \\ = 3p(2p + 5) - 2(2p + 5) \\ \\ = (2p + 5)(3p - 2)$
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