Question

A polynomial is shown. 2x2-7x-15 wrie the polynomial in factored form.

Answer 1

Factor:

(x - 5)(2x + 3) OR (2x + 3)(x - 5)

Answer 2

Please write this poly as 2x^2-7x-15, using " ^ " to indicate exponentiation.

There are various ways in which we could factor 2x^2-7x-15. I will apply the quadratic formula here. a=2, b= -7 and c= -15.

Then:

            -(-7) plus or minus sqrt(49-4(2)(-15) )

x = -------------------------------------------------------

                                        4

         7 plus or minus sqrt(169)

= --------------------------------------- => {5, -3/2)

                           4

The corresponding factors of the given poly are (x-5) and (x+3/2).