Polynomial Features
End Behavior
Adding & Subtracting Polynomials
Multiplying Polynomials
Polynomial Applications
100
What is the y-intercept of the function
f(x)=4x2+13-2x3+14x
13
100
Write 7x-5x3+6-2x2 in standard form then state the leading coefficient and degree.
Standard : -5x3-2x2+7x+6
LC: -5
D: 3
100
Add the following polynomials. Write your final answer in standard form.
(4x^2+4)+(19x^2-7)
23x^2-3
100
Multiply the polynomials. Write your final answer in standard form.
-3x(2x^2+4)
-6x^3-12x
100
Recall that the perimeter of a figure is the sum of all the lengths of the sides. Determine the perimeter of the triangle and write the answer in standard form.
2x^2+9x+2 meters
200
What are the x-intercepts for the function
f(x)=x3-2x2-4x+2
Round to the nearest tenth
-1.5, 0.4, 3.1
200
Write 8-7x2+10x-4x4 in standard form then state whether the graph goes up or down on the right side.
Standard : -4x4-7x2+10x+8
Right side : Down
200
Subtract the following polynomials. Write your final answer in standard form.
(3x+2)-(11x-6)
-8x+8
200
Multiply the polynomials. Write your final answer in standard form.
(7xy+4y)(2x-4)
14x2y-20xy-16y
200
Recall that area of a rectangle is length times width. Determine the area of the shaded region in terms of x.
x^2+8x+7 units2
300
Find the x-intercepts then state where the turning points of the polynomial are based on the x-intercepts
f(x)=x3-x2-6x
x-intercepts : -2,0,3
Turning points : Between -2 & 0 , Between 0 & 3
300
Write 3x3+5x-2x2+13 in standard form then state whether the graph goes up or down on the left side.
Standard : 3x3-2x2+5x+13
Left side : Down
300
Subtract the following polynomials. Write your final answer in standard form.
(x^2-x+4)-(x^2+x-2)
-2x+6
300
Multiply the polynomials. Write your final answer in standard form.
(2x-5)(3x^2-x+6)
6x^3-17x^2+17x-30
300
Determine the area of the shaded region.
66x^3+40x^2+24x units2
400
Where are the turning points for the function. State all that apply. f(x)=x3-4x2-37x+40
A) Between -8 & -5
B) Between -5 & 1
C) Between 1 & 5
D) Between 1 & 8
B & D
400
Describe the end behavior of the function
f(x)=5x2-3x-5x3+4
x-->
x-->
400
Add the following polynomials. Write your final answer in standard form.
(a2b+3ab-4b+1)+(7a2-5+3ba2-4ab)
4a2b-ab+7a2-4b-4
400
Multiply the polynomials. Write your final answer in standard form.
(4x-1)^2
16x^2-8x+1
400
A rectangular prism has a length of 2x+4 in, a width of 3x2-1 in, and a height of 5x in. Find the volume of the prism using the formula V=lwh.
V=30x4+60x3-10x2-20x in3
500
Find the average rate of change over the interval [-2,2] for the polynomial
f(x)=2x4-3x2+5x-6
5
500
Describe the end behavior of the function
f(x)=3x+5x4-12x2+1
x-->
x-->
500
Subtract the following polynomials. Write your final answer in standard form.
(13x^2y-2x+1)-(9x^2y-7xy+4x)
4x2y+7xy-6x+1
500
Multiply the polynomials. Write your final answer in standard form.
(9x+1)(6x+2)(3x-5)
162x3-198x2-114x-10
500
Sabrina is making an open box from a piece of cardboard that has a width of 12 inches and a length of 18 inches. She cuts squares of equal size form each corner and then folds up the sides of the box. Write and simplify a polynomial function for the volume of the box in terms of x.
y=4x3-60x2+216x in3