x-8 is not a factor of [tex]p(x) = x^3-9x^2+12x-17[/tex]
Step-by-step explanation:
In order to check whether a term is factor of given expression or not we put the value in the expression. If the expression is zero, then the value is a factor otherwise not.
Given polynomial is:
[tex]p(x) = x^3-9x^2+12x-17[/tex]
We have to check if x-8 is factor of given polynomial or not. for that purpose we have to put
[tex]x-8 = 0\\x = 8[/tex]
Putting in the polynomial
[tex]p(x) = (8)^3 - 9(8)^2+12(8)-17\\= 512 - 8(64) + 96 - 17\\= 512-512+96-17\\=79[/tex]
Hence,
x-8 is not a factor of [tex]p(x) = x^3-9x^2+12x-17[/tex]
Keywords: Polynomials, expressions
Learn more about polynomials at:
- brainly.com/question/2367554
- brainly.com/question/2670657
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