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Simplfy quadratic equations.

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See the attached file.
1. Multiply

Simplify your answer

2.
Simplify your answer. Type a fraction or an integer. Type N if the root is not a real number.

3. Subtract. Simplify by collecting like radical terms if possible.

Simplify your answer. Type an exact answer, using radicals as needed.

4. Multiply and simplify.

Type exponential notation with positive exponents

5. Use the FOIL method to find the product.

6. Find all numbers for which the rational expression is undefined.

Use a comma to separate answers.

7. Solve

The solution is x.
Simplify your answer. Use a comma to separate answers. Type exact answers, using radicals as needed. Type N if there is no solution.

8. Evaluate the polynomial for x=7
3
Simplify your answer

9. Use rational exponents to write

10. Factor completely

11. Television sets. What does it mean to refer to a 20-inch TV set? Such units refer to the diagonal of the screen. A 35 inch TV set also has a width of 28 inches. What is its height
What is the height of a 35 inch TV?

12. Rationalize the denominator. Assume that all expressions under the radicals represent positive numbers

Simplify your answer. Type an exact answer, using radicals as needed

13. Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form,
Solution 3, only solution
The equation is

14. Identify the degree of each term of the polynomial and the degree of the polynomial

The degree of the first term is
The degree of the second term is
The degree of the third term is
The degree of the fourth term is
The degree of the polynomial is

15. Multiply and simplify. Assume variables represent nonzero real numbers.

16. Solve

Simplify your answer. Type an integer or a fraction. Type N if there is no solution

17. Divide and simplify

18. Divide

19. Use rational exponents to simplify
Simplify your answer

20. Rewrite with rational exponent

Simplify your answer

21. Factor.

Type N if the trinomial is not factorable

22. For the following equation, state the value of the discriminant and then describe the nature of the solution.

What is the value of the discriminant?
How many solutions do the equation has?

23. Rewrite the following expression with positive exponents.

24. Solve

Use a comma to separate answers as needed. Type N if there is no solution

25. Solve

Use a comma to separate answers as needed. Type N if there is no solution

26. Simplify by taking the roots of the numerator and the denominator. Assume that all expressions under the radicals represent positive numbers.

Type an exact answer, using radicals as needed. Type N if the root is not a real number.

27. In a right angle triangle, find the length of the side not given
B=2, c=
The length of the third side is
Simplify your answer. Type an exact answer, using radicals as needed.

28. Solve
(a)
(b) Find the x-intercepts of

29. Subtract the polynomials

Simplify your answer.

30. Multiply and simplify by factoring. Assume that all expressions under the radicals represent non negative numbers.

31. Multiply

Simplify your answer. Type an exact answer, using radicals as needed.

32. Simplify by removing factors of 1

The simplified from is (see attached file).

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Solution Summary

The solution comprised of simplification in equations.

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  • MBA, Indian Institute of Finance
  • Bsc, Madras University
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