1) 21n² – 70n“ A) 7n°(3 – 10n“) B) 7n°(3n – 10n) C) n°(3 – 10n“) D) 7n (21n – 210n") 2) -9y- 15y'r A) -3:(3y+ 5x³y*) B) -6(3x + 5xy²) C) -3;(3y+ 5x°y*) D) -3,(3 + Sx²y) 2.2 3) –32y'x* – 24 y's² – 16y°xz A) -8y*(4x*y+ 3yz² + 2xz) B) -40y (4x*y + 3 yz² + 2xz) C) -8y(4x* + 2xzy + 3:) D) -8y'(4x*yz + 3yz' + 6x:) 4) 48yz²r² - 42y²z + 48yz A) 6yz(8r²z= 7y + 8) B) 6yz(48r²z² - 42 yz + 482) C) 3y=*(16x²z² - 14y + 162) D) 3y(8xz + 4y – 7)

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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**Mathematics Practice Problems**

Here are some algebraic expressions presented with multiple-choice answers. These problems are designed to test your ability to factor and simplify expressions.

**Problem 1:**

Given Expression: 
\[ 21n^2 - 70n^6 \]

Choose the correct factorization:

A) \( 7n(3 - 10n^4) \)

B) \( 7n(3n - 10n^5) \)

C) \( n^2(3 - 10n^4) \)

D) \( 7n^2(21n - 210n^5) \)

**Problem 2:**

Given Expression: 
\[ -9y - 15y^2x^2 \]

Choose the correct factorization:

A) \(-3x(3y + 5x^2)\)

B) \(-6y(3x + 5x^2)\)

C) \(-3y(3x + 5x^2)\)

D) \(-3(3 + 5x^2y)\)

**Problem 3:**

Given Expression: 
\[ -32y^3x^4 - 24y^3z^2 - 16y^3xz \]

Choose the correct factorization:

A) \(-8y^3(4x^4 + 3y^2 + 2xz)\)

B) \(-40y^3(4x^4 + 3y^2 + 2xz)\)

C) \(-8y^3x^4(4x^4 + 2xzy + 3z)\)

D) \(-8y^3(4x^4xz + 3y^2 + 6xz)\)

**Problem 4:**

Given Expression: 
\[ 48yz^2x^2 - 42y^2z + 48yz \]

Choose the correct factorization:

A) \( 6y(8x^2z^2 - 7y + 8) \)

B) \( 6yz(48x^2z^2 - 42y^2 + 48z) \)

C) \( 3yz(16x^2 - 14y + 16z) \)

D) \( 3yz(8xz +
Transcribed Image Text:**Mathematics Practice Problems** Here are some algebraic expressions presented with multiple-choice answers. These problems are designed to test your ability to factor and simplify expressions. **Problem 1:** Given Expression: \[ 21n^2 - 70n^6 \] Choose the correct factorization: A) \( 7n(3 - 10n^4) \) B) \( 7n(3n - 10n^5) \) C) \( n^2(3 - 10n^4) \) D) \( 7n^2(21n - 210n^5) \) **Problem 2:** Given Expression: \[ -9y - 15y^2x^2 \] Choose the correct factorization: A) \(-3x(3y + 5x^2)\) B) \(-6y(3x + 5x^2)\) C) \(-3y(3x + 5x^2)\) D) \(-3(3 + 5x^2y)\) **Problem 3:** Given Expression: \[ -32y^3x^4 - 24y^3z^2 - 16y^3xz \] Choose the correct factorization: A) \(-8y^3(4x^4 + 3y^2 + 2xz)\) B) \(-40y^3(4x^4 + 3y^2 + 2xz)\) C) \(-8y^3x^4(4x^4 + 2xzy + 3z)\) D) \(-8y^3(4x^4xz + 3y^2 + 6xz)\) **Problem 4:** Given Expression: \[ 48yz^2x^2 - 42y^2z + 48yz \] Choose the correct factorization: A) \( 6y(8x^2z^2 - 7y + 8) \) B) \( 6yz(48x^2z^2 - 42y^2 + 48z) \) C) \( 3yz(16x^2 - 14y + 16z) \) D) \( 3yz(8xz +
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