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ALEKS Week 4 HW – Exponents and Polynomials #1 – 08/23/2014 1:15:13 PM EDT – Copyright © 2014 UC Regents and ALEKS Corporation. P. 1/7

Week 4 HW – Exponents and Polynomials

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#1

Preparation for Calculus / EGR 1980 – Fall 01 (Prof. Griffith)

Student Name/ID:

1. Factor.

2. Find the greatest common factor of and

3. The length of a rectangle is less than twice the width, and the area of the rectangle is Find

the dimensions of the rectangle.

4. Factor completely.ALEKS Week 4 HW – Exponents and Polynomials #1 – 08/23/2014 1:15:13 PM EDT – Copyright © 2014 UC Regents and ALEKS Corporation. P. 2/7

5. Solve.

(If there is more than one solution, separate them with commas.)

6. A model rocket is launched with an initial upward velocity of The rocket’s height (in feet) after

seconds is given by the following.

Find all values of for which the rocket’s height is feet.

Round your answer(s) to the nearest hundredth.

(If there is more than one answer, use the “or” button.)

7. Fill in the blank to make the expression a perfect square.ALEKS Week 4 HW – Exponents and Polynomials #1 – 08/23/2014 1:15:13 PM EDT – Copyright © 2014 UC Regents and ALEKS Corporation. P. 3/7

8. Factor the following expression.

9. Solve the equation

for

10. Solve for

11. Find the greatest common factor of and

12. Factor.

13. Solve for ALEKS Week 4 HW – Exponents and Polynomials #1 – 08/23/2014 1:15:13 PM EDT – Copyright © 2014 UC Regents and ALEKS Corporation. P. 4/7

14. Graph the solution to the following inequality on the number line.

15. Find the greatest common factor of these two expressions.

and

16. Factor.

17. Factor by grouping.

18. Factor ALEKS Week 4 HW – Exponents and Polynomials #1 – 08/23/2014 1:15:13 PM EDT – Copyright © 2014 UC Regents and ALEKS Corporation. P. 5/7

19. Use the quadratic formula to solve for .

20. Solve where is a real number.

Simplify your answer as much as possible.

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