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Polynomial Factoring

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

Factoring Polynomials Warmup

True or False?

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

Are these expressions equivalent?

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

and

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

$$x^4 - y^6 = \, ?$$

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.)

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

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