Question

factorise the sum 2x²+x-15

Answer 1

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Answer 2

Given,

The polynomial 2x²+x-15 is given.

To find,

We have to find the factors of 2x²+x-15.

Solution,

The factors of 2x²+x-15 are (x+3) and (2x-5).

We can simply factorize the given polynomial 2x²+x-15 by splitting the middle term.

                    2x²+x-15

                    2x²+(6-5)x-15

                    2x²+6x-5x-15

                    2x(x+3)-5(x+3)

                     (x+3)(2x-5)

Hence, the factors of 2x²+x-15 are (x+3) and (2x-5).