Question
Factor the polynomial below. \[ 90 x+18 y \]
Ask by Schmidt Haynes. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The factored form is \(18(5x + y)\).
Solution
Factor the expression \( 90x+18y \).
Factor the expression by following steps:
- step0: Factor:
\(90x+18y\)
- step1: Factor the expression:
\(18\left(5x+y\right)\)
The factored form of the polynomial \(90x+18y\) is \(18(5x+y)\).
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Simplify this solution Extra Insights
To factor the polynomial \( 90x + 18y \), we first need to find the greatest common factor (GCF) of the coefficients 90 and 18. The GCF is 18. Therefore, we can factor out 18 from both terms: \[ 90x + 18y = 18(5x + y) \] Now the expression is factored as \( 18(5x + y) \). This means that if you multiply 18 by the expression \( (5x + y) \), you'll get back to the original polynomial. Factorization can simplify complex expressions and make them easier to work with in algebraic operations!
