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Factor Theorem

Evaluate: 4...

Question

Evaluate: $(4 x + 2) (x^{2} + x + 1)$

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Solution

$(4 x + 2) (x^{2} + x + 1)$
$⟹ 4 x (x^{2} + x + 1) + 2 (x^{2} + x + 1)$
$⟹ 4 x^{3} + 4 x^{2} + 4 x + 2 x^{2} + 2 x + 2$
$⟹ 4 x^{3} + 6 x^{2} + 6 x + 2$

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