Find the value of $m$ if equations $x^3 - (m+2)x^2 + 7x - 4m - 1=0$ and $x^3-(m+3)x^2+11x-4m-4=0$ have a common factor?
Could someone given me hint as how to initiate this question?
Value of $m$ for which cubic equations have common factor
2
$\begingroup$
algebra-precalculus
polynomials
1 Answers
4
Using the usual Euclidean algorithm, the common factor will divide the difference of the polynomials.