Polynomials
The function r(x) is defined by the expression x2 + 3x - 18. Use factoring to determine the zeros of r(x).
Explain what the zeros represent on the graph of r(x).
X = -6
x = 3
Solve the equation below algebraically for the exact value of X.
6- 2/3 (x + 5) = 4x
X = 0.4
if the function f(X) = x2 has the domain (0, 1, 4, 9), what is the range?
1. (0, 1, 2, 3)
2. (0, 1, 16, 81)
3. ( 0, -1, 1, -2, 2, -3, 3)
4. (0, -1, 1, -16, 16, -81, 81)
2 = (0, 1, 16, 81)
x2−25=0
The solutions to the equation are x =5x=5 and x=−5x=−5.
= 100,000
The quadratic equation x2 -6x = 12 is rewritten in the form (x + p)2 = q, where q is a constant. What is the value of p?
(x-3)2 = 21
The formula for the sum of the degree measures of the interior angles of a polygon is S= 180(n-2). Solve for n, the number of sides of the polygon, in terms of s.
S + 360 --------- = n 180
Which ordered pair below is not a solution to f(x) = x2 - 3x + 4
1. ( 0, 4)
2. (1.5, 1.75)
3. ( 5, 14)
4. (-1, 6)
4. = (-1 6)
Solve 5x2 + 6x + 1 = 0
x = −0.2 or x = −1
What is the name of the longest river in the world?
Nile River
Express in simplest form: (3x2 + 4x -8) - (-2x2 +4x + 2)
5x2 -10
Using the formula for the volume of a cone, express r in terms of V, h, and π
r = √ 3v -------- πh
if k(X) = 2x2 - 3 √x, then k(9) is
153
Find the solutions to the equation x2 + 4x−6=0 using the method of completing the square.
x=−2±√10x
How many holes are there on a golf course?
18 holes
Write the expression 5x+4x2(2x+7) -6x2 -9x as a polynomial in standard form.
8x3 + 22x2 -4x
Solve the equation below for x in terms of a. 4(ax + 3) - 3ax = 25 + 3a
X = 13 + 3a ----------- a
The highest possible grade for a book report is 100. The teacher deducts 10 points for each day the report is late. What kind of function describes this situation?
1.Linear
2. Quadratic
3. Exponential growth
4. Exponential decay
1. = Linear
Use the quadratic formula to solve the equation x2−10x +25=0.
x=5
In the Solar System, which is the hottest planet?
Venus
The length, width and height of a rectangular box are represented by 2x, 3x + 1 and 5x - 6, respectively. When the volume is expressed as a polynomial in standard form, what is the coefficient of the 2nd term?
-26x
The formula for converting degrees Fahrenheit (F)ro degrees Kelvin (K) is:
k = 5/9(F+ 459.67)
Solve for F, in terms of K.
F = 9/5 (K-45967) -------------- (180)
A function is defined as ((0,1), (2,3), (5,8), (7,2)). Issac is asked to create one more ordered pair for the function. Which ordered pair can he add to the set to keep it a function?
1. (0,2)
2. (5,3)
3. (7,0)
4. (1,3)
4 = (1,3)
Solve the equation 5x2+5x=2x2+10x.
x=0 or x =5/3
How many rings make up the symbol of the Olympic Games?
Five