Use the remainder theorem to find the remainder when p(x) = x^4-9x^3 - 5x^2 - 3x + 4 is
divided by x + 3
show your work

The required remainder is .

Given:

The given polynomial is .

is divided by .

To find:

The remainder by using the Remainder Theorem.

Explanation:

According to the Remainder Theorem, if a polynomial is divided by , then the remainder is .

It is given that is divided by . By using the Remainder Theorem, the remainder is .

Therefore, the required remainder is .

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Remainder=292

Step-by-step explanation:

x+3=0

x=-3

p(-3)=(-3)^4-9(-3)^3-5(-3)^2-3(-3)+4

=81+243-45+9+4

=337-45

=292

step-by-step explanation: