a square by 4 plus 36 a cube plus 2 by 3 b square
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Step-by-step explanation:
Let p(x)=1+x+2x2+3x3 and q(x)=1+x+2x2+3x3+4x4. Then
(q(x))4−(p(x))4=(q(x)−p(x))A(x)
for some polynomial A(x). But q(x)−p(x)=4x4, so (q(x))4−(p(x))4 is divisible by x4. It follows that all coefficients of xk for k≤3 are 0.
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