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# Algebra Problems

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Week 4 Assignment 3: Mixed Problems

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

https://brainmass.com/math/basic-algebra/simplifying-rational-expression-factors-286931

#### Solution Preview

Week 4 Assignment 3: Mixed Problems

For the questions 1-7, simplify the following algebraic expressions:

1. (4 points)
Solution: Subtract the exponents of variables common to numerator and denominator.

2. (2 points)
Solution: Any number raised to 0 is equal to 1.

3. (4 points)
Solution: Subtract the exponents of variables common to numerator and denominator.