Question

Find the remainder when f(x) = x3 − 14x2 + 51x − 22 is divided by x − 7. 36 8 −8 −36

Answer 1

This is by the rmeainder theorem f(7) 

= 7^3 - 14(7)^2 + 51(7) - 22

=  -8

Answer 2

We are given polynomial function  $f(x) = x^3-14x^2+51x-22.$

We need to divide it by (x-7) to get the remainder.

Please see.. if we set x-7 equals 0, we get

x-7=0

x=7.

Plugging x=7 in the given polynomial, we get

$f(7) = (7)^3-14(7)^2+51(7)-22$

=343-686+357-22

=-8.

Therefore, remainder is −8.