Power Functions
What is the leading coefficient of the function
f(x) = 2x3 + 4x2 + 5x - 7
2
For what intervals does the following function have zeros?
*Name one*
h(x) = 4x3 - 48x2 +140x
x=0, x=4 and 6, x = 6 and 8
Is 2x a polynomial?
Yes
What is the sum of the following polynomials?
(7x3 + 4x2 + 3x + 12) + (9x3 -2x2 + 5x -8)
16x3 + 2x2 +8x + 4
True or False: To divide a polynomial by (x + a) using synthetic division, you must put the opposite of a in the divisor box.
True
What is the degree of the function
f(x) = 2x3 + 4x2 + 5x - 7
3
Factor: 2x3+12x2−32x
2x(x−2)(x+8)
Is 1/2y3 + 5 a polynomial?
Yes
Subtract the following polynomials.
(7x4 - 5x3 +8x2 + 9x -13) - (2x4 + 6x3 -4x2 -x + 4)
5x4 - 11x3 +12x2 + 10x -17
Andre is dividing 2x3 + 15x2 + 34x + 24 by x + 2. After dividing into 2x3, Andre writes 2x2 as the first term of the quotient and then multiplies 2x2 by the divisor. What is the next step in the long division?
Subtract 2x3 + 4x2 from the first two terms
What is the y intercept of the function
f(x) = 2x2 + 4x2 + 5x - 7
-7
Factor: 10x2−8x−2x3
−2x(x−4)(x−1)
What makes the following function not a polynomial?
2j-5 -5j2 + 3
The negative exponent
Find the area of a rectangle with side lengths (3x + 2) and (4x + 7)
A = 12x2 + 29x +14
Use synthetic division to find the quotient.
(4x4 + 18x3 + 20x2 + 10x + 8) ÷ (x + 2)
4x3 + 10x2 + 10 -12/(x+2)
Describe the end behavior of f(x) = 5x3
as x -> -infinity, f(x) -> -infinity
as x -> infinity, f(x) -> infinity
Given the following points, where do I have a minimum?
(2,8) (3,5) (4,4) (5,5) (6, 8)
x=4
(4,4)
The sum of each of the exponents in the expanded form of (h + r)5 is ____.
5
Determine the quotient.
(56x8 + 16x2) ÷ (8x2)
7x6 + 2
If f(x)=x3−12x2+23x+36 and x−4 is a factor of f(x), then find all of the zeros of f(x) algebraically.
x=4 x=-1 x=9
What is the domain of f(x) = 3x8
D: All Real
R: f(x) >= 0
How many zeros will a polynomial function of degree 4 have?
Maximum of 3
(n -1) extrema possible
How many terms will be in (a + b)n expanded?
n terms
What is the quotient?
(18x6y4 + 24x5y3 − 30x3y2) ÷ (6x3y2)
3x3y2 + 4x2y - 5
A pediatric dentist office typically sees an equal number of boys and girls each day. What is the probability that the next 3 appointments are for 2 girls and 1 boy?
3/8 or 37.5%