Find the G.C.D. of 8(x^{3}-x^{2}+x) and 28(x^ | vedclass

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(B) First,factorize the given expressions:$p(x) = 8(x^{3}-x^{2}+x) = 2^{3} \cdot x \cdot (x^{2}-x+1)$$q(x) = 28(x^{3}+1) = 2^{2} \cdot 7 \cdot (x+1)(x

Vedclass · Accepted Answer

$4(x^{2}-x+1)$

Vedclass · Answer

(B) First,factorize the given expressions:$p(x) = 8(x^{3}-x^{2}+x) = 2^{3} \cdot x \cdot (x^{2}-x+1)$$q(x) = 28(x^{3}+1) = 2^{2} \cdot 7 \cdot (x+1)(x^{2}-x+1)$Next,identify the common factors:The numerical $G.C.D.$ of $8$ and $28$ is $2^{2} = 4$.The common polynomial factor is $(x^{2}-x+1)$.Therefore,the required $G.C.D.$ is $4(x^{2}-x+1)$.

Find the $G.C.D.$ of $8(x^{3}-x^{2}+x)$ and $28(x^{3}+1)$.

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