Question

SY FOR
f(x)= x³ – 8x² + kx-20
When f(x) is divided by (x – 1), the remainder is R.
When f(x) is divided by (x – 2), the remainder is 4R.
Find the value of k.

1. niczorrrr
Applying polynomial division and solving the equation for the value of k using the substitution method, The answer is 32.

### What do you mean by a polynomial?

Sums of terms with the form  kxⁿ, where K is any number and N is a positive integer, are known as polynomials.

### What is a substitution method for solving equation?

For each of the variables, solve one equation. Solve the other equation by substituting this expression. To identify the matching variable, rewrite the value’s original equation.
Divide f(x) by x-1 , we get
k-27=R
Divide f(x) by x-2, we get
2k-44=4R
substitute value of R in second equation and solve, we get
k=32