Question
Factor completely 5xy3 + 15x3y2 − 30x2y2.
5(xy3 + 3x3y2 − 6x2y2)
5x(y3 + 3x2y2 − 6xy2)
5xy2(y + 3x2 − 6x)
Prime
Question 2(Multiple Choice Worth 1 points)
(07.02 MC)
Factor completely 4xy + 9x + 24y + 54.
(4y − 9)(x − 6)
(4y − 9)(x + 6)
(4y + 9)(x − 6)
(4y + 9)(x + 6)
Question 3(Multiple Choice Worth 1 points)
(07.02 MC)
Factor completely x3 − 6x2 − 5x + 30.
(x + 6)(x2 + 5)
(x − 6)(x2 + 5)
(x − 6)(x2 − 5)
(x + 6)(x2 − 5)
Question 4(Multiple Choice Worth 1 points)
(07.02 MC)
Factor completely 21x3 + 35x2 + 9x + 15.
(3x − 5)(7x2 − 3)
(3x − 5)(7x2 + 3)
(3x + 5)(7x2 − 3)
(3x + 5)(7x2 + 3)
Question 5(Multiple Choice Worth 1 points)
(07.02 MC)
Factor completely x3 + 7x2 + 3x + 21.
(x − 7)(x2 − 3)
(x + 7)(x2 + 3)
(x − 7)(x2 + 3)
(x + 7)(x2 − 3)
Question 6(Multiple Choice Worth 1 points)
(07.02 LC)
What is the greatest common factor of x6 and x3?
x4
x3
x2
x
Question 7(Multiple Choice Worth 1 points)
(07.02 MC)
Factor completely x3 + 7x2 − 2x − 14.
(x − 7)(x2 − 2)
(x + 7)(x2 + 2)
(x + 7)(x2 − 2)
(x − 7)(x2 + 2)
Question 8(Multiple Choice Worth 1 points)
(07.02 LC)
Factor completely 3x(x + 2) + 4(x + 2).
(x + 2)(3x + 4)
(x + 2)(12x)
(x + 2)(7x)
Prime
Question 9(Multiple Choice Worth 1 points)
(07.02 LC)
Factor completely 12x4 + 6x3 + 18x2.
Prime
6(2x4 + x3 + 3x2)
6x2(2x2 + x + 3)
6x(2x3 + x2 + 3x)
Question 10(Multiple Choice Worth 1 points)
(07.02 MC)
Factor completely 5ax2 − 20x3 + 2a − 8x.
(a + 4x)(5x2 + 2)
(a + 4x)(5x2 − 2)
(a − 4x)(5x2 + 2)
(a − 4x)(5x2 − 2)
Answers
Answered by
GPT-4o mini
Here are the solutions to each of the questions:
**Question 1: Factor completely 5xy³ + 15x³y² − 30x²y².**
The correct factorization is:
**5xy²(y + 3x² − 6x)**
---
**Question 2: Factor completely 4xy + 9x + 24y + 54.**
The correct factorization is:
**(4y + 9)(x + 6)**
---
**Question 3: Factor completely x³ − 6x² − 5x + 30.**
The correct factorization is:
**(x − 6)(x² + 5)**
---
**Question 4: Factor completely 21x³ + 35x² + 9x + 15.**
The correct factorization is:
**(3x + 5)(7x² + 3)**
---
**Question 5: Factor completely x³ + 7x² + 3x + 21.**
The correct factorization is:
**(x + 7)(x² + 3)**
---
**Question 6: What is the greatest common factor of x⁶ and x³?**
The correct answer is:
**x³**
---
**Question 7: Factor completely x³ + 7x² − 2x − 14.**
The correct factorization is:
**(x + 7)(x² − 2)**
---
**Question 8: Factor completely 3x(x + 2) + 4(x + 2).**
The correct factorization is:
**(x + 2)(3x + 4)**
---
**Question 9: Factor completely 12x⁴ + 6x³ + 18x².**
The correct factorization is:
**6x²(2x² + x + 3)**
---
**Question 10: Factor completely 5ax² − 20x³ + 2a − 8x.**
The correct factorization is:
**(a − 4x)(5x² + 2)**
---
If you have any further questions or need more explanations on specific problems, feel free to ask!
**Question 1: Factor completely 5xy³ + 15x³y² − 30x²y².**
The correct factorization is:
**5xy²(y + 3x² − 6x)**
---
**Question 2: Factor completely 4xy + 9x + 24y + 54.**
The correct factorization is:
**(4y + 9)(x + 6)**
---
**Question 3: Factor completely x³ − 6x² − 5x + 30.**
The correct factorization is:
**(x − 6)(x² + 5)**
---
**Question 4: Factor completely 21x³ + 35x² + 9x + 15.**
The correct factorization is:
**(3x + 5)(7x² + 3)**
---
**Question 5: Factor completely x³ + 7x² + 3x + 21.**
The correct factorization is:
**(x + 7)(x² + 3)**
---
**Question 6: What is the greatest common factor of x⁶ and x³?**
The correct answer is:
**x³**
---
**Question 7: Factor completely x³ + 7x² − 2x − 14.**
The correct factorization is:
**(x + 7)(x² − 2)**
---
**Question 8: Factor completely 3x(x + 2) + 4(x + 2).**
The correct factorization is:
**(x + 2)(3x + 4)**
---
**Question 9: Factor completely 12x⁴ + 6x³ + 18x².**
The correct factorization is:
**6x²(2x² + x + 3)**
---
**Question 10: Factor completely 5ax² − 20x³ + 2a − 8x.**
The correct factorization is:
**(a − 4x)(5x² + 2)**
---
If you have any further questions or need more explanations on specific problems, feel free to ask!
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