Show:
?????
General Functions
Quadratics
Completing the square
Factoring
100
x(z + 3) + 1 + 3 − y; use x = 6, y = −5, and z = 2
39
100
f (x) = x^2 − 3x; Find f (−8)
88
100
Identify the vertex and max/min value f (x) = x^2 -18x+86
vertex:(9, 5) min value: 5
100
Find the value of c that completes the square. x^2 + 6x + c
c=9
100

Solve the equation. 27 = x^(3/2)

9

200
−2(−6x − 9) − 4(x + 9)
8x-18
200
h(x) = 3x + 3 g(x) = −4x + 1 Find (h + g)(10)
-6
200
Factor: x^2 − 7x − 18
(x − 9)(x + 2)
200
Find the value of c that completes the square x^2 + (7/13)x + c
49/676
200
Solve: 26 = −1 + (27x)^(3/4)
3
300
Rationalize the Imaginary Denominator (6 + 8i)/9i
(−6i + 8)/9
300
f (n) = 2n g(n) = −n − 4 Find ( f o g)(n) Hint: (f o g)(n)= f(g(n))
-2n-8
300
Factor: 3b^3 -5b^2 +2b
b(3b − 2)(b − 1)
300
Solve each function by completing the square x^2 − 12x + 11 = 0
{11,1}
300
simplify (p + 4)/(p^2 +6p +8)
1/(p+2)
400
DO NOT USE YOUR CALCULATOR 111,111,111 x 111,111,111=?
12,345,678,987,654,321 :)
400
g(a) = 2a + 2 h(a) = −2a − 5 Find (g o h)(−4 + a)
-4a +8
400
Factor: 9r^2 − 5r − 10
Not factorable
400
Solve the equation by completing the square x^2 + 14x − 15 = 0
{1,-15}
400
(n+3)/(n+2) ÷ ((n-1)(n+3))/((n-1)^2)
(n-1)/(n+2)
500
Factor each and find all zeros. One zero has been given. f (x) = 5x^3 + 4x^2 -20x -16; 2
Factors to: f (x) = (5x + 4)(x + 2)(x − 2) Zeros: {-(4/5), -2, 2}
500
Find the inverse g(x) = (1/x) -2
h(x)= (1/(x+2))
500
Find the discriminant of each quadratic equation then state the numberof real and imaginary solutions. 9n^2 − 3n − 8 = −10
−63; two imaginary solutions
500
Solve by completing the square 6x^2 − 48 = −12x
{2, −4}
500
solve: (a − 2)/(a + 3) -1= 3/(a+2)
-19/8