The polynomial $\alpha {x^3} + b{x^2} + 5x - 2$, where $\alpha $ and $b$ are constants, is denoted by $p\left( x \right)$. It is given that $\left( {2x - 1} \right)$ is a factor of $p\left( x \right)$ and that when $p\left( x \right)$ is divided by $\left( {x - 2} \right)$ the remainder is 12.
a) Find the values of $\alpha $ and $b$.
b) When $\alpha $ and $b$ have these values, find the quadratic factor of $p\left( x \right)$.
پاسخ تشریحی :
تحلیل ویدئویی تست
تحلیل ویدئویی برای این تست ثبت نشده است!