Expert: Richard J. Raridon - 3/14/2005

Question
1. IF F(X) = 16 -x squared and g (x) = 4- x. find (f-g), (x)
2. solve z cubed  - 4z squared - 15 z + 68 given that 4 + i is a root
3. find center and radius of the circle with the given equation  ( x + 2) squared + ( y- 8) squared= 4
4. find distance between -7, 7 8, 1
5 use the rational zero theorem to find all possible zeros  g (x)= 35x cubed + 10 x squared - 9x - 1
6. Evaluate the function at the specified values of the independent variable and simplify  f(x)=|x|-3; f (-2)
find the F(1) FOR THE FUNCTION F (X)= 7 TO THE FOURTH POWER X -1
7. FIND ALL ZEROS OF THE FUNCTION P(X)= X CUBED - 4X  SQUARED - 20X + 48
8. EXPAND THE LOGARITHM LOG b 45 over 82
9 solve for x 1 over 8 = 4 to fourth powerx - 2
10. Solve for x. Log ( x + 16)- log x = 2
11. Evaluate the logarithm using the change base formula log3 155
12. identify the polynomial written as a product of linear factors  F (X)= X SQUARED + 36
13 FIND  F ( -2) FOR THE FUNCTION  F (X) = 5 SQUARED X
14. FIND THE VERTEX OF THE GRAPH OF THE FUNCTION F (X) = - (X+5) + 2
15. WHAT IS THE LOGARITHM WRITTEN AS A SINGLE EXPRESSION 2 LOG B X - 9 LOG b Y
16. EVALUATE THE EXPRESSION  LOG3 243
17 LISTS THE ZEROS OF THE CUBIC FUNCTION AND TELL WHICH, IF ANY ARE DOUBLE OR TRIPLE ZEROS Y= (X+8)(X-5)SQUARED
18. fIND THE POLYNOMINAL WITH INTEGER COEFFECIENTS THAT HAS THE GIVEN ZEROS -1, 2 +i
19. FIND THE SLOPE OF THE LINE PASSING THROUGH THE GIVEN POINTS  (3 OVER 2, 2 OVER 5) (2 OVER 3, AND 1 OVER 2)
I just need some help on this test my brain is about fried and out of a hundred questions thats all I need left so i appreciate everything.

Answer
Here's some of them.  For a few, the question was not clear.
1. f(x)-g(x) = 12-x^2+x
2. 4-i is also a root (they come in pairs) and the third root is -4
3. center at (-2,8), radius = 2
4. If you mean (-7,7) and (8,1), difference in x=15, difference in y=6 so you have (15^2+6^2)^1/2 = 16.2
5. There is one root close to 0.45, the other two are imaginary
6. f(-2) = -1
7. roots are 2, -4, 6
10. x = 16/99
12. x^2+36 = (x-6i)(x+6i)
14. That's a straight line
16. log base 3 of 243 = 5
17. x = -8, 5, 5
18. another root has to be 2-i so you have
x^3-5x^2+9x-5
19. slope = (y2-y1)/(x2-x1) = (1/2 -2/5)/(2/3 -3/2) = -3/25