Use the remainder theorem to divide 3x2+10x-8 by x-2 what is the remainder

Remainder is 24.

Step-by-step explanation:

Given dividend = 3x² + 10x - 8

and divisor = x - 2

To find: Remainder using Remainder theorem.

Remainder Theorem states that let p(x) be any polynomial of degree greater than or equal to one and let a be any real number. If p(x) is divided by the linear polynomial x - a, then the remainder is p(a).

Let p(x) = 3x² + 10x - 8

using remainder theorem,

Remainder = p(2) = 3 × 2² + 10 × 2 - 8

                  = 3 × 4 + 20 - 8

                  = 12 + 12

                  = 24

Therefore, Remainder is 24.

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