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Polynomials

See attachment, thank you very much.

Simplify each expression

1. 2x3 . 3x2 (x3 = X raised to the power 3, x2 = X raised to the power 2).
2. (2x2 y)4
3. 18x4 divided by 3x or 18x4
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3x

4. x-9 =

5. 9x0 =

6. Express in scientific notation: 2,117,000

7. Express without exponents: 2.40 x 10 raised to the power 3

8. Multiply: (5.8 x 10 raised to power 13 ) (4.3 x 10 raised to the power minus 16) ; answer in scientific notation

9. Classify as a monomial, binomial, or trinomial: 4x2 + 5

10. Give the degree of the polynomial: 4x2 + 5

11. Write the polynomial 5x2 -x3 +2x4 - 8 in descending order.

Perform the operations indicated.

12. (4x -4x5 +9) + (-5x5 + 5 + 3x)

13. 3p3 + 8) + (8p3 + 5p + 1)

14. (10x + 3) - (7x + 1)

15. (7x2 -4x +2) - (3x2 -2x -4)

16. 3xy2 (8x2 -4y)

17. (x + 7) (x + 1)

18. (3p + 1) (3p -1) (p + 2)

19. 15x2 - 10x + 20
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5x

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Solution Summary

This provides examples of working with polynomials, including multiplication, division, subtraction, addition, degree, and classification.

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