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Factor out the largest possible common factor. \( 40 x+10 \)

Ask by Osborne Ramirez. in the United States
Jan 29,2025

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Answer

Factor out 10 from \( 40x + 10 \) to get \( 10(4x + 1) \).

Solution

To factor out the largest possible common factor from the expression \( 40x + 10 \), follow these steps: 1. **Identify the greatest common factor (GCF) of the coefficients:** - The coefficients are 40 and 10. - The GCF of 40 and 10 is **10**. 2. **Factor out the GCF from each term:** - \( 40x = 10 \times 4x \) - \( 10 = 10 \times 1 \) 3. **Write the factored form:** - \( 40x + 10 = 10(4x + 1) \) **Final Answer:** \[ 10(4x + 1) \]

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To factor out the largest possible common factor from \( 40x + 10 \), we first identify the greatest common factor of the coefficients, which are 40 and 10. The greatest common factor is 10. We can then factor out 10 from the expression: \[ 40x + 10 = 10(4x + 1) \] So, the factored form is \( 10(4x + 1) \). Now, keep in mind that factoring is like organizing your closet—it’s all about finding what belongs together! And just like in a well-organized closet, once you factor out the commonalities, everything else becomes neater and easier to work with, making your calculations smoother and more enjoyable. To get more practice with factoring, grab a couple of polynomials and try factoring them step by step. It’s a fantastic way to sharpen your skills! You can even challenge a friend or tutor to see who can factor a set of expressions faster. The more you practice, the more confident you’ll become!

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