Question

find the remainder when 2x cube +5x square -6x+2 is divided by x+2

Answer 1

Answer:

18

Step-by-step explanation:

Using remainder theorem, if f(x) = 2x^3 + 5x^2 - 6x + 2 is divided by x + 2 or x - (-2),  remainder is given by f(-2).

    ∴ remainder = f(-2)

                         = 2(-2)^3 + 5(-2)^2 - 6(-2) + 2

                         = 2(-8) + 5(4) - 6(-2) + 2

                         = -16 + 20 + 12 + 2

                         = 18

Hence, the remainder is 18.

Answer 2

★ Refer the Attachment for Answer