The remainder will be 9 if the p(x) = -x³ - 9x² -21x + 5 is divided by x+4 by using the remainder theorem.
What is polynomial?
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
Here the polynomial is not given:
We are assuming the polynomial is:
p(x) = -x³ - 9x² -21x + 5
If p(x) is divided by x+4 the remainder can be find using the remainder theorem;
Plug x = -4 in the above polynomial:
p(-4) = -(-4)³ - 9(-4)² -21(-4) + 5
After calculating;
p(-4) = 9
Thus, the remainder will be 9 if the p(x) = -x³ - 9x² -21x + 5 is divided by x+4 by using the remainder theorem.
Learn more about Polynomial here:
brainly.com/question/17822016
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