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# Polynomial Factoring

A factored polynomial reveals its roots, a key concept in understanding the behavior of these expressions.

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True or False?

\(x(x + 1) + x(x + 2) = 2x^2 + 3x\)

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Are these expressions equivalent?

\((2x^2 - x) + (8x - 4)\)

and

\(x(2x - 1) + 4(2x - 1)\)

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\(x^4 - y^6 = \, ?\)

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Is \((x + 2)\) a factor of \((x^3 - 8)?\)

(HINT: If \((x - 4)\) is a factor of an expression, then 4 is a solution to the equation created when that expression equals 0.)

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If the dimensions of the figure are located along the rectangular figure's perimeter, what is the figure's area?

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