Factor the GCF from the polynomial. 27y³ -9y² + 15y ⒸA. 3y(9y²-3y + 5) OB. y(27y² - 9y + 15) OC. 3y(9y³-3y² + 5y) OD. 3(9y³ - 3y² + 5y)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Factor the GCF from the polynomial.**

Given polynomial: 

\[ 27y^3 - 9y^2 + 15y \]

Choose one of the following options:

A. \( 3y(9y^2 - 3y + 5) \)

B. \( y(27y^2 - 9y + 15) \)

C. \( 3y(9y^3 - 3y^2 + 5y) \)

D. \( 3(9y^3 - 3y^2 + 5y) \)

**Explanation:**

The task is to factor the greatest common factor (GCF) out of the given polynomial expression. 

- Look for the GCF of the coefficients (27, 9, 15) and the minimum power of 'y' in each term.
- Determine which option correctly represents the polynomial with the GCF factored out.
Transcribed Image Text:**Factor the GCF from the polynomial.** Given polynomial: \[ 27y^3 - 9y^2 + 15y \] Choose one of the following options: A. \( 3y(9y^2 - 3y + 5) \) B. \( y(27y^2 - 9y + 15) \) C. \( 3y(9y^3 - 3y^2 + 5y) \) D. \( 3(9y^3 - 3y^2 + 5y) \) **Explanation:** The task is to factor the greatest common factor (GCF) out of the given polynomial expression. - Look for the GCF of the coefficients (27, 9, 15) and the minimum power of 'y' in each term. - Determine which option correctly represents the polynomial with the GCF factored out.
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