Solution Bank Polynomials Target C
Answers to the Extended Problems are below in random order.
\(\begin{align}&256x^8-256x^6y^2+96x^4y^4-16x^2y^6+y^8 \ & \ \ & \ (x+3)(4-y)\\\\
&a=16,\ b=12\ & \ \ & \ (x+2)(x^2-2x+4(x-1)(x^2+x+1)\\\\
&Q(x)=x^2+4x+4,\ \ R=2 \ & \ \ & \ -4\\\\
&140 \ & \ \ & \ 2x^3-13122x\\\\
&-(w^3+5)(w^6+5w^3+25)\ & \ \ & \ \ (y-1)(y^2+2y+4)\\\\
&(w^2+1)(w+1)^2(w-1)^2(w^4+w^2+1)\end{align}\)
Answers to the Extended Problems are below in random order.
\(\begin{align}&256x^8-256x^6y^2+96x^4y^4-16x^2y^6+y^8 \ & \ \ & \ (x+3)(4-y)\\\\
&a=16,\ b=12\ & \ \ & \ (x+2)(x^2-2x+4(x-1)(x^2+x+1)\\\\
&Q(x)=x^2+4x+4,\ \ R=2 \ & \ \ & \ -4\\\\
&140 \ & \ \ & \ 2x^3-13122x\\\\
&-(w^3+5)(w^6+5w^3+25)\ & \ \ & \ \ (y-1)(y^2+2y+4)\\\\
&(w^2+1)(w+1)^2(w-1)^2(w^4+w^2+1)\end{align}\)