Answer:
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.
