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Factor out the greatest common factor. If the greatest common factor is 1 , just retype the polynomial. \( 6 y^{2}+3 y \)

Ask by Bright Stewart. in the United States
Jan 23,2025

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\( 3y(2y + 1) \)

Solución

The greatest common factor (GCF) of \( 6y^{2} + 3y \) is \( 3y \). Factoring this out: \[ 6y^{2} + 3y = 3y(2y + 1) \] **Answer:** \( 3 y (2 y + 1) \)

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To factor out the greatest common factor from the polynomial \(6y^{2} + 3y\), we first identify that both terms share a common factor of 3y. Factoring this out gives us \(3y(2y + 1)\). Now you have a factored expression, \(3y(2y + 1)\), that highlights the relationship between the terms and makes further calculations or graphing a breeze!

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