POLYNOMIAL & DIVISION
MIXED PRACTICE
SYSTEMS OF EQUATIONS & INVERSE FUNCTIONS
FUNCTION & RADICAL EQUATIONS
Random
100
List all factors of the following polynomial.
f(x) = x3-3x2-16x+48
-4, 3, 4
100
Angle p is between 90° and 180°. What is cos(p) if sin(p) = ½?
(square root of 3)/2
100
What value of x makes the equation below true
x=(3x+10)1/2
5
100
Solve (x+2)/(x-4) = 5
5.5 or 11/2
100
For what values of x does f(x) = g(x) when
f(x) = x2-4x+1
g(x) = -abs(x+2) -3
No Solution
200
Is (x – 2) a factor of 2x3 – x2 – 8x + 5? Explain why or why not. Then write the quotient.
No, has a reminder of 1
200
Write a possible equation for g(x) (the polynomial above).
g(x)=-x(x+1)(x-3)
200
Find the inverse of g(x) =(x/3+5)2
(3*SQUARE ROOT OF X)-15
200
Solve (x-2)/3 = (x+5)/4
23
200
A system of functions is given.
f(x) = 2x + 1
g(x) = 2x
State all values of x for which f(x) = g(x)
(0, 1)
300
What is the remainder when
f(x) = 2x4-5x3+5x2+2x+9 is divided by 2x+1.
10
300
What is the remainder when 2x3+4x2-3x+5 is divided by x-1?
8
300
Find the inverse of 2x2-1
((x+1)/2)1/2
300
Solve 7 = (4x-3)1/2 + 2
7
300
Consider the functions f(x) = abs(2x + 1) and
g(x) = 3x+1
State all values of x for which f(x) = g(x)
(-1, 1)
400
Which of the following COULD be factors of
P(x) = 2x3-x2-13x-6?
x + 1
x + 3
x + 5
x - 3
x + 2
x - 2
x - 5
x + 4
x - 1
Of the factors you selected, determine which ones are ACTUALLY factors. Then write your polynomial in fully factored form.
x + 1 Y
x + 3 Y
x + 5 N
x - 3 Y
x + 2 Y
x - 2 Y
x - 5 N
x + 4 N
x - 1 Y
f(x)=(x-3)(x+2)(2x+1)
400
For the function below fill in the blank:
As x approaches positive infinity, g(x) approaches ______
Positive Infinity
400
Find the inverse of 2x=5
log25=x
400
Solve 3 = (2x+4)1/2 -1
6
400
What is Mrs. Blanton's favorite color?
Blue
500
Find the quotient. x3+5x2+4x-3 and x+3
x2+2x-2
500
For the function below fill in the blank:
As x approaches negative infinity, g(x) approaches ______
Positive Infinity
500
Find all values of x where f(x)=g(x) when
f(x)=x/2 + 3
g(x)=3x+1-2
(-10, -2) & (0.51, 3.255)
500
Solve x = (4x+5)1/2
5
-1 is an extraneous solution
500
Consider the functions f(x) = 2x+4 -1 and
g(x) = 3x + 12. State all values of x for which
f(x) = g(x)
(-4, 0), (-0.462, 10.613)