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write an expression for the length of the rectangle. (hint: factor the …

Question

write an expression for the length of the rectangle. (hint: factor the area binomial and recall that area = width · length.)
the length is
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Explanation:

Step1: Recall the formula for the area of a rectangle

The formula for the area of a rectangle is \(A = \text{width}\times\text{length}\). Given \(A=9x^{5}-36x\) and \(\text{width} = 9x\). We need to find \(\text{length}\), so \(\text{length}=\frac{A}{\text{width}}\).

Step2: Perform the polynomial division

$$ LATEXBLOCK0 $$

Answer:

\(x^{4}-4\)