Question

Factorise :


$6p {}^{2} + 11p - 10 = 0$




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Answer 1

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Answer 2

Factoring 6p2-11p-10

Step-1 : Multiply the coefficient of the first term by the constant 6 x (-10) = -60

Step-2 : Find two factors of -60 whose sum equals the coefficient of the middle term, which is -11 .

-60 + 1 = -59

-30 + 2 = -28

-20 + 3 = -17

-15 + 4 = -11

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 4

6p2 - 15p + 4p - 10

Step-4 : Add up the first 2 terms, pulling out like factors :

3p(2p-5)

Add up the last 2 terms, pulling out common factors :

2 (2p-5)

Step-5 : Add up the four terms of step 4 :

(3p+2) (2p-5)

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