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.

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option

21

step-by-step explanation: