Question

Find the remainder using: synthetic division/substitution OR long division:

f(x) = 3x3 - 4x2 +5x-7 : (x-2)
0-57
Oo
O 11
O-25

Answer 1

The remainder is 11

Explanation:

Here, we want to find the remainder by using substitution

We start by equating x-2 to 0

x = 2

Substitute the value of x in the function

3(2)^3 - 4(2)^2 + 5(2) - 7

= 24-16+ 10 - 7 = 11