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

The answer  is : 7

Step-by-step explanation:

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.

a

step-by-step explanation:

the denominator cannot be the same as one of the factors.

8 denominator times 2 denominator = 16

and 7 numerator time 11 = 77

77/16= 77/16 ( they cannot be further simplified)