Questions: Completely factor the given polynomial, if possible. If the polynomial cannot be factored, indicate "Not Factorable". cq + cu + qx + ux

Completely factor the given polynomial, if possible. If the polynomial cannot be factored, indicate "Not Factorable". cq + cu + qx + ux
Transcript text: Completely factor the given polynomial, if possible. If the polynomial cannot be factored, indicate "Not Factorable". \[ c q+c u+q x+u x \]
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Solution

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Solution Steps

Step 1: Group the terms

Group the terms in pairs to facilitate factoring: \[ (cq + cu) + (qx + ux) \]

Step 2: Factor out the common factor from each group

Factor out the common factor from each pair: \[ c(q + u) + x(q + u) \]

Step 3: Factor out the common binomial

Notice that \( (q + u) \) is a common factor in both terms. Factor it out: \[ (q + u)(c + x) \]

Final Answer

\(\boxed{(q + u)(c + x)}\)

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