# value of ( p+ q )r

• September 9th 2012, 04:19 AM
rcs
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?..
• September 9th 2012, 07:10 AM
MarkFL
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.