The polynomial $\mathrm{f}\left( x \right)={{x}^{4}}+p{{x}^{2}}+qx-6$, where $p$ and $q$

Question

The polynomial $\mathrm{f}\left( x \right)={{x}^{4}}+p{{x}^{2}}+qx-6$, where $p$ and $q$ are constants, is divisible by ${{x}^{2}}+2x-3$. Find the values of $p$ and $q$.

Accepted Answer

$p = -5$, $q = 10$

Polynomials, Cubic Equations and Partial Fractions - Remainder and Factor Theorems

Polynomials, Cubic Equations and Partial Fractions - Remainder and Factor Theorems

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