Factoring
What must a binomial equal to be a factor of a polynomial?
Zero
Solve for x: √(2x+3)=5
x=11
Simplify: x3 * x4
x7
What is the vertex of the function: f(x)=(x-3)2+2?
(3,2)
What is the mean of the data set: 4, 7, 9, 10, 10
A polynomial function f(x) has x-intercepts at (-6,0) and (2,0). What are the factors of f(x)?
(x+6)
(x-2)
Simplify: √(18)+√(8)
5√(2)
Simplify: (y12)/(y8)
y4
What is the axis of symmetry of: f(x)=x2-6x+5?
x=3
What is the median of the following numbers: 3, 7, 9, 2, 6, 8, 10, 5, 4, 12
Median=6.5
Create your own function that has zeros at x=7,-4,2/3.
f(x)=(x-7)(x+4)(3x-2)
Solve for x: √(x+2)+1=4
x=7
Simplify: (x2y3)4
x8y12
What is the shape of the graph of the following function: f(x)=-2x2+8x? What is the vertex?
Opens downward (Hill)
(2,8)
The mean score on a test is 80, with a standard deviation of 5. A student scored a 90. What is their z-score?
For what value of K is (x-3) a factor of f(x)=5x3-9x2+k?
K=-54
Solve for x: √(x+1)=√(2x-5)
x=6
Simplify: 3√(1728x15y9)
12x5y3
The graph of a quadratic passes through the points (0,4), (1,1), and (2,0). What is the y-intercept and the axis of symmetry?
axis of symmetry: x=1
The scores on a standardized test are normally distributed with a mean of 500 and a standard deviation of 100.
What percent of students scored between 400 and 600?
68%
Divide the polynomial f(x)=x3-6x2+11x-6 by (x-1) to determine if it is a factor.
Yes it is a factor.
Bonus: x2-5x+6
Solve for x: √(3x-2)=x-2
x=6
(y3)/(2x5)
A quadratic function has zeros at x=−2 and x=5, and a leading coefficient of 1. What is the equation in standard form?
f(x)=x2-3x-10
The IQ scores of a population are normally distributed with a mean of 100 and a standard deviation of 15.
What percent of people have an IQ between 70 and 130?
95%