SOLUTION: Find polynomials q and r such that f(x)=q(x)g(x)+r(x) where the degree of r is strictly less than degree of g.
f(x)=x^4-3x^3+2x^2-x+1 and g(x)=x^2-3
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Question 992868: Find polynomials q and r such that f(x)=q(x)g(x)+r(x) where the degree of r is strictly less than degree of g.
f(x)=x^4-3x^3+2x^2-x+1 and g(x)=x^2-3
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find polynomials q and r such that f(x)=q(x)g(x)+r(x) where the degree of r is strictly less than degree of g.
f(x)=x^4-3x^3+2x^2-x+1 and g(x)=x^2-3
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Divid
f(x) by g(x) to find the quotient(q(x)) and the remainder(r(x)).
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Ans:
q(x) = x^2 - 3x +8
r(x) = -x + 25
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Cheers,
Stan H.
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