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-
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,...
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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b1b66bc-4c02-4c18-91d3-341b918380cc%2F181ff30d-b0b5-4b08-8b74-e2bbb6c4f23a%2F0g9iyyo_processed.jpeg&w=3840&q=75)
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)
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