As the expression is not equal to zero on x=3, x-3 is not a factor of given expression
Step-by-step explanation:
Given expression is:
[tex]x^3+2x^2-5x-6[/tex]
We have to check if x-3 is a factor of given expression
In order for x-3 to be a factor of expression, we have to put x-3 = 0 => x=3 in expression.
If the expression is zero at x=3 then x-3 is a factor of expression otherwise not.
So putting x=333 in expression
[tex]=(3)^3+2(3)^2-5(3)-6\\= 27+2(9) - 15-6\\= 27+18-15-6\\= 45-21\\=24 \neq 0[/tex]
As the expression is not equal to zero on x=3, x-3 is not a factor of given expression
Keywords: Polynomials, expressions
Learn more about polynomials at:
- brainly.com/question/4228574
- brainly.com/question/4279146
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