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1. The width of a rectangle is 9 inches less than 2 times thelength. If x represents the length, write an algebraic expressionin terms of x that represents the area of the rectangle. Simplifythe expression.

2. Add:

3p2 – 5p – 4 and 9p2 + 10p – 2


3. Is the algebraic expression a polynomial? If so, give itsdegree.

9x3 + 6x6 + 8




4. Perform the indicated operations and simplify.

5x – 4x[8 – 3(x – 2)]


5. Multiply and simplify.

(3x – 1)(2x + 5)

6. Multiply and simplify:

(5x – 3y)2

7. Multiply and simplify:

(3x2 – 2x – 1)(x2 + x + 5)

8. Subtract 4x2 – 5x from the sum of 9x2 – 2 and 6x – 1.

9. Factor completely relative to the integers.

x2 – 8x + x – 8

10. Factor completely relative to the integers.
25x2 – 5x – 2

11. Factor completely relative to the integers.

49a2b – b3


12. Factor completely relative to the integers.

8a3 + 27


13. Subtract and reduce to the lowest terms:

2/4 - 1/6




14. Factor completely relative to the integers.

x2 + 36


15. Reduce to lowest terms:

18/54


16. Factor completely relative to the integers:

16x2 + 40x + 25


17. Factor out, relative to the integers, all factors common to allterms.

49x4 – 70x3 + 21x2

Is x + 2 a factor of f(x) = x^3 + 5x^2 + 8x + 4?

If so, factor completely.