If x^4 + 4x^3 + 6px^2 + 4qx + r is divisible by x^3 + 3x^2 + 9x + 3, the value of (p + q) r is?

anybody help me on this?..

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- Sep 9th 2012, 04:19 AMrcsvalue of ( p+ q )r
If x^4 + 4x^3 + 6px^2 + 4qx + r is divisible by x^3 + 3x^2 + 9x + 3, the value of (p + q) r is?

anybody help me on this?.. - Sep 9th 2012, 07:10 AMMarkFLRe: value of ( p+ q )r
From the given information we know:

$\displaystyle x^4+4x^3+6px^2+4qx+r=\left(x^3 + 3x^2 + 9x + 3\right)\left(x+\frac{r}{3}\right)$

Expand the right side, then equate coefficients.