Use the remainder theorem to determine if the given number

pogonofor9z 2021-12-16 Answered
Use the remainder theorem to determine if the given number c is a zero of the polynomial.
x4+9x3+22x2+19x+45;c=3
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Expert Answer

Piosellisf
Answered 2021-12-17 Author has 40 answers
Step 1:Concept
According to remainder theorem, if we plug the given number -3 for x, and -f -3 is a zero, then the result should be 0.
Step 2:Solution
Plugging -3 for x
(3)4+9(3)3+22(3)2+19(3)+45
=81-243+198-57+45
=240
So c=-3 is not a zero.
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Annie Gonzalez
Answered 2021-12-18 Author has 41 answers
x4+9x3+22x2+19x+45,c=3
By remainder theorem-
Replace x=-3,
So,
(3)4+9(3)3+22(3)2+19(3)+45
=81-243+198-57+45
=324-300
=24
By replace x=-3 in equation, we cannot get 0,
So, c=-3 is not a zero of the polynomial.
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