Math 65 QUIZ11 :  PLEASE WRITE NEATLY ON BLANK SHEETS . Please write on one side only. One side of each turned-in  sheet should be blank. When finished, please fold sheets down the long side of the paper. Then staple pages together.  Thanks.

SEC. 5.1 PRACTICE

1. FACTOR COMPLETELY BY GROUPING (SEE SEC. 5.1) , 
x3 - 3x2 + 4x – 12. USE ALSO ALSO SEC 5.4 METHODS. Hint.  Use parentheses  to group the 4 terms into two groups. Then  factor out  the greatest common factor from each group.  Then factor completely.   

2.    SECTION 5.3 : FACTOR:  3x2  +  4x +  1. 

3.    SECTION 5.3 : FACTOR:  5x2  +  18x  +  9.

SEC. 5.4

4.  Factor:  x2 – 25. Hint: A2 – B2 = (A + B) A – B)

5.  Factor x4 – 16 . HINT SEE EXAMPLE 7.

SEC. 5.5 GENERAL FACTORING STRATEGIES--

6. FACTOR.  5x2 – 125. HINT: FIRST FACTOR OUT GCF. THEN USE SEC. 5.4 METHOD.

7.  Factor by grouping. x3 + 3x2 +  4x + 12 . Hint.  Use parentheses  to group the 4 terms into two groups. Then  factor out  the greatest common factor from each group.  Then factor completely.   

SEC. 5.6

8.  Solving using the principle of zero products
(x + 2)(x + 7) = 0.

9.  SOLVE BY  FIRST FACTORING THE LEFT HAND SIDE OF THE EQUATION.  THEN SOLVE USING THE PRINCIPLE OF ZERO PRODUCTS:
x2  +  7x  +  6  = 0.  

10.  SOLVE BY  FIRST FACTORING THE LEFT HAND SIDE OF THE EQUATION.   THEN SOLVE USING THE PRINCIPLE OF ZERO PRODUCTS:
x2  +   5x  = 0.

Top of Form

5.7

11.   A number is 7 less than its square. Translate.

12.  Solve the equation for x in  the previous problem.

6.1

13.  Factor and simplify.

Bottom of Form

Top of Form

14.    Simplify.    

15.    Simplify.    

6.2

16.    Simplify.  HINT: FACTOR AND CANCEL AS IN SEC. 6.1.

 

17.   Simplify.  HINT: FACTOR AND CANCEL AS IN SEC. 6.1.