Question
Factor the given polynomial by finding the greatest common monomial factor (or the negative of the \[ -22 y-22 x+22 x^{2} \]
Ask by Powers Munoz. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The factored form of \( -22y-22x+22x^{2} \) is \( -22(y+x-x^{2}) \).
Solution
Factor the expression \( -22y-22x+22x^{2} \).
Factor the expression by following steps:
- step0: Factor:
\(-22y-22x+22x^{2}\)
- step1: Factor the expression:
\(-22\left(y+x-x^{2}\right)\)
The greatest common monomial factor of the given polynomial \( -22y-22x+22x^{2} \) is \( -22 \) and the factored form is \( -22(y+x-x^{2}) \).
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Simplify this solution Bonus Knowledge
To factor the polynomial \(-22y - 22x + 22x^2\), we first look for the greatest common factor (GCF) of the terms. Here, the GCF is \(-22\), as it can be factored out of each term. Factoring gives us: \[-22(y + x - x^2).\] Next, we can rearrange the terms inside the parentheses for clarity: \[-22(-x^2 + x + y).\] This reveals that the polynomial can be expressed simply as: \[-22(x^2 - x - y).\] So the factored form of the polynomial is \(-22(x^2 - x - y)\). Now you've got a nice, neat format to work with!
