what will be the values of a and b in the polynom of p(x)= x³+ax²+bx+2 in (x-1) and (x+1)

if (x-1) and (x+1) would be factores of polynoms of p(x)= x³+ax²+bx+2 so what will be the values of a and b?
in order of operations by

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1 Answer

p(x)=(x-1)(x+1)(x+A), where A is the third zero. So (x^2-1)(x+A)=x^3+Ax^2-x-A=x^3+ax^2+bx+2, from which -A=2, so A=-2 and p(x)=x^3-2x^2-x+2=x^3+ax^2+bx+2, so a=-2 and b=-1.

by Top Rated User (1.2m points)

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