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Homework Statement
a) Find the remainder when [tex]P(x)=2x^4-7x^3+ax^2+3x-9[/tex] is divided by [tex]2x-1[/tex]
b) If the remainder, when [tex]P(x)[/tex] is divided by [tex]x+2[/tex], is 17, find the value of a.
Homework Equations
If a polynomial [tex]P(x)[/tex] is divided by [tex](x-a)[/tex], the resultant is [tex](x-a)Qx+R(x)[/tex]
The Attempt at a Solution
For a) I substituted [tex]x=\frac{1}{2}[/tex] into the equation and resulted with [tex]P(\frac{1}{2})=\frac{a-33}{4}[/tex]
For b) I'm unsure what to do with the fact that I now have [tex]P(\frac{1}{2})=\frac{a-33}{4}[/tex] and [tex]P(-2)=17[/tex].
A nudge in the right direction would be greatly appreciated