Maharashtra BoardEnglish MediumSTD 9MathsPolynomials1 Mark
Question
Check whether, $x-2$ is a factor of the polynomial $x^3-x^2-4$ by using factor theorem.
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Answer
$p(x)=x^3-x^2-4 \text { Divisor }=x-2$
$therefore p(2)=2^3-2^2-4=8-4-4=0$
$\therefore$ By factor theorem $(x-2)$ is a factor of the polynomial $\left(x^3-x^2-4\right)$.
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