Algebra Problems
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Week 4 Assignment 3: Mixed Problems
By Day 4 complete and submit your answers to the facilitator; please show all necessary work. By Day 5 post your answers in the appropriate thread for review and comments from others.
For the questions 1-7, simplify the following algebraic expressions:
1. (4 points)
2. (2 points)
3. (4 points)
4. (4 points)
5. (4 points)
6. (4 points)
7. (4 points)
8. (3 points) Evaluate P(-1/2) if P(x) = 2x4 + x3 + 12
9. (3 points) Simplify: (-4 + x2 + 2x3) - (-6 - x + 3x3) - (-6y3 + y2)
10. (3 points) Multiply: (3x + 4) (3x - 4)
For questions 11-13, factor the algebraic expressions completely.
11. (3 points) x2 - 16x + 63
12. (4 points) 4x2 + 34x + 42
13. (4 points) 16x2 + 40x + 25
For questions 14 and 15, simplify the rational expressions.
14. (3 points)
15. (3 points)
For questions 16-20, classify the given numbers as real and rational, real and irrational, or complex.
16. (2 points) (4)1/2 + 2
17. (2 points) 6+0i
18. (2 points) 30007.413
19. (2 points) 3i
20. (2 points) 1
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Week 4 Assignment 3: Mixed Problems
By Day 4 complete and submit your answers to the facilitator; please show all necessary work. By Day 5 post your answers in the appropriate thread for review and comments from others.
For the questions 1-7, simplify the following algebraic expressions:
1. (4 points)
Solution: Subtract the exponents of variables common to numerator and denominator.
Answer:
2. (2 points)
Solution: Any number raised to 0 is equal to 1.
Answer:
3. (4 points)
Solution: Subtract the exponents of variables common to numerator and denominator.
Answer:
4. (4 points)
Solution: Multiply the external exponent to each exponent of the variables and the coefficient.
Answer:
5. (4 points)
Solution: Multiply the external exponent to each ...
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