# Math Help - value of ( p+ q )r

1. ## value 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?..

2. ## Re: value of ( p+ q )r

From the given information we know:

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

Expand the right side, then equate coefficients.