Join IDNLearn.com to access a wealth of knowledge and get your questions answered by experts. Whether your question is simple or complex, our community is here to provide detailed and trustworthy answers quickly and effectively.
Given data:
The given equation is x^3-3x^2-37.
The given expression can be written as,
[tex]\begin{gathered} x^3-3x^2-37=x^2(x-5)+2x(x-5)+10(x-5)+13 \\ x^3-3x^2-37=(x-5)(x^2+2x+10)+13 \end{gathered}[/tex]Thus, when x^3-3x^2-37 is divide by (x-5) we get 13 as a remainder, so the correct option is (E).