polyniomial problem

Jul 2009
68
0
for what value of h is the polynomial f(x) = 2x^3 - hx^2 + 5x + 9 exactly divisible by x + 2 ?
 
Apr 2010
41
15
India
\(\displaystyle put x+2=0\)
x=-2
now
\(\displaystyle 2x^3-hx^2+5x+9=0\)
\(\displaystyle 2(-2)^3-h(-2)^2+5(-2)+9=0\)
\(\displaystyle h=\frac{-17}{4}\)
 
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