# Polynomials

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#1
hey,

My question is:

The polynomial x^2-4x+3 is a factor of the polynomial x^3+ax^2+27x+b.Find the values of a and b

I have tried the factor theorem, without any sucess...

Thank you!!
0
5 years ago
#2
well you can find two roots of the cubic by factorising and solving the quadratic. put these roots into the cubic and it must equal zero.

to find the third root of the cubic you could either do long division or just inspection.
0
5 years ago
#3
What you will have to do is factorise the quadratic factor into 2 linear factors. Then use the factor theorem and you will end up with 2 equations in a and b. There will be 2 equations and 2 variables so you will be able to then solve for a and b.
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