Question

find the remainder when f (x) = x^3 - 14x^2 + 51x -22 is divided by x - 7.

Answer 1

use synthetic division
http://www.purplemath.com/modules/synthdiv.htm

Answer 2

i know what to do i just can't figure it out

Answer 3

@jim_thompson5910

Answer 4

or you can use the remainder theorem

the remainder of

f(x)/(x - p)

is the value f(p)

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in other words, if r is the remainder, then r = f(p)

Answer 5

walkthrough?

Answer 6

x - p
x - 7

so, p = ???

Answer 7

p = 7?

Answer 8

yep

Answer 9

plug that into the function

Answer 10

plug it into f (x) = x^3 - 14x^2 + 51x -22

Answer 11

hmmm.