Find the remainder when f(x) = 2x³ - 12x² + 11x + 2 is divided by x - 5.

Solution:

Given: Function f(x) = 2x³ - 12x² + 11x + 2

When the function is divided by x - 5

Let us use the synthetic division method as the divisor is a linear factor.

The quotient is 2x²- 2x+1 and the remainder is 7

Therefore, the remainder is 7.

Find the remainder when f(x) = 2x³ - 12x² + 11x + 2 is divided by x - 5.

Summary:

The remainder when f(x) = 2x³ - 12x² + 11x + 2 is divided by x - 5 is 7.