Factor the polynomial completely. 22) 125x³+y3 A) (125x + y)(x2 - 5xy + y2) C) (5x - y) (25x2 + 5xy + y2) 23) z3 - 8p3 A) (z + 2p) (z2 - 2zp + 4p²) C) (z-2p) (z² + 2zp + -4p²) 24) 125a3-8b3 A) (5a + 2b2) (25a2 - 10ab + 4b²) C) (5a + 2b)(25a2 - 10ab + 4b²) 25) 8g3+125h3 A) (2g-5h)(4g2+25h²) C) (2g + 5h2)(4g2 - 10gh + 25h²) B) (5x+y)(25x² + y2) D) (5x+y)(25x2 - 5xy + y B)(z-2p) (z² + 4p²) D) (z + 8p)(z + p)(z-p) B) (5a - 2b)(25a2+ 10al D) (5a - 2b)(25a2 + 4b2x B) (2g-5h)(4g2+ 10gh D) (2g+5h)(4g2 - 10gl-

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,...
icon
Related questions
Question
**Factoring the Polynomial Completely**

**22) Problem:**  
\(125x^3 - y^3\)  
**Options:**  
A) \((x^5 + y)(25x^2 - 5xy + y^2)\)  
B) \((x + y)(25x^2 - 5xy + y^2)\)  
C) \((5x + y)(25x^2 - 5xy + y^2)\)  

**23) Problem:**  
\(z^3 - 8p^3\)  
**Options:**  
A) \((z + 2p)(z^2 - 2pz + 4p^2)\)  
B) \((z - 2p)(z^2 + 2pz + 4p^2)\)  
C) \((z - 8p)(z + p)(z - p)\)  

**24) Problem:**  
\(125a^3 - 8b^3\)  
**Options:**  
A) \((5a + 2b)(25a^2 - 10ab + 4b^2)\)  
B) \((5a - 2b)(25a^2 + 10ab + 4b^2)\)  
C) \((5a + 2b)(25a^2 - 10ab - 4b^2)\)  

**25) Problem:**  
\(8g^3 + 125h^3\)  
**Options:**  
A) \((2g + 5h)(4g^2 - 5gh + 25h^2)\)  
B) \((2g - 5h)(4g^2 + 10gh + 25h^2)\)  
C) \((2g + 5h)(4g^2 - 10gh + 25h^2)\)  

**Solve the Equation**

**26) Problem:**  
\(\sqrt{q+1} = 2\)  
**Options:**  
A) 5  
B) 9  
C) 3  
D) 4  

**27) Problem:**  
\(\sqrt{2k + 1} = 11\)  
**Options:**  
A) 30  
B) 120  
C)
Transcribed Image Text:**Factoring the Polynomial Completely** **22) Problem:** \(125x^3 - y^3\) **Options:** A) \((x^5 + y)(25x^2 - 5xy + y^2)\) B) \((x + y)(25x^2 - 5xy + y^2)\) C) \((5x + y)(25x^2 - 5xy + y^2)\) **23) Problem:** \(z^3 - 8p^3\) **Options:** A) \((z + 2p)(z^2 - 2pz + 4p^2)\) B) \((z - 2p)(z^2 + 2pz + 4p^2)\) C) \((z - 8p)(z + p)(z - p)\) **24) Problem:** \(125a^3 - 8b^3\) **Options:** A) \((5a + 2b)(25a^2 - 10ab + 4b^2)\) B) \((5a - 2b)(25a^2 + 10ab + 4b^2)\) C) \((5a + 2b)(25a^2 - 10ab - 4b^2)\) **25) Problem:** \(8g^3 + 125h^3\) **Options:** A) \((2g + 5h)(4g^2 - 5gh + 25h^2)\) B) \((2g - 5h)(4g^2 + 10gh + 25h^2)\) C) \((2g + 5h)(4g^2 - 10gh + 25h^2)\) **Solve the Equation** **26) Problem:** \(\sqrt{q+1} = 2\) **Options:** A) 5 B) 9 C) 3 D) 4 **27) Problem:** \(\sqrt{2k + 1} = 11\) **Options:** A) 30 B) 120 C)
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education