The correct answer is: No, the remainder is -114
Further explanation:
In order to check whether the given term is a factor of given polynomial or not we will put
x+2=0
x=-2
Given
[tex]f(x)=x^3 - 10x^2 + 27^x - 12\\f(-2)=(-2)^3-10(-2)^2+27(-2)- 12\\=-8-10(4)-54-12\\=-8-40-54-12\\=-114[/tex]
As the remainder is -114, the term x+2 is not a factor of given polynomial
The correct answer is: No, the remainder is -114
Keywords: Polynomials, expressions
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