Question

Use the Remainder Theorem to find the remainder when P(x) = x4 – 9x3 – 5x2 – 3x + 4 is divided by x + 3.

Answer 1

x+3 is the same as x-(-3)

compare x-(-3) with x - k and you'll find that k = -3

Answer 2

Rule: if you divide P(x) by x-k, the remainder is equal to P(k)

Answer 3

Extension of the rule: if P(k) = 0, then x-k is a factor of P(x)

Answer 4

this is the remainder theorem in action

Answer 5

oh okay thank you!

Answer 6

you're welcome

Answer 7

i got ( i.e. 292) is that correct?

Answer 8

I got P(-3) = 292 as well

Answer 9

awesome ! thanks again!

Answer 10

np