Ms B is the Best
Write in standard form. Identify the LC (leading coefficient) and name the expression.
-8x3 - x4 + 1 + 2x
-x4 - 8x3 + 2x + 1
LC: -1
Name: Quartic Polynomial
Write in standard form. Identify the LC (leading coefficient) and name the expression.
-297x2 - 18x +7x5
7x5 - 297x2 - 18x
(6x - 7x2) + (4x2+6)
-3x2 + 6x + 6
(8 - 5x2) - (7x2 + 5)
-12X2 + 3
(2x - 4)2
4x2-16x +16
(5x + 3)(8x + 7)
40x2+59x+21
(2x - 3)3
8x3 - 36x2 + 54x -27
f(x)=x - 1 g(x)=x2 + 2x - 3 h(x) =1 - 2x
k(x)=2x + 3 p(x)=x2 - 3
Find: (f - k)(x)
-x - 4
f(x)=x - 1 g(x)=x2 + 2x - 3 h(x) =1 - 2x
k(x)=2x + 3 p(x)=x2 - 3
Find: (p + g)(x)
2x2 + 2x -6
f(x)=x - 1 g(x)=x2 + 2x - 3 h(x) =1 - 2x
k(x)=2x + 3 p(x)=x2 - 3
Find: (fh)(x)
-2x2 + 3x - 1
f(x)=x - 1 g(x)=x2 + 2x - 3 h(x) =1 - 2x
k(x)=2x + 3 p(x)=x2 - 3
Find: (pk)(2)
5
Solve using synthetic division:
(5x4 + 2x2 - 15x + 10) / (x + 2)
5x3 - 10x2 + 22x -59 + (11/x+2)
f(x)=x - 1 g(x)=x2 + 2x - 3 h(x) =1 - 2x
k(x)=2x + 3 p(x)=x2 - 3
Find: p(h(3))
22
Use synthetic division to solve the following:
(-x5 + 2x4 - 3x2 - x + 5) / (x + 1)
-x4 + 3x3 - 3x2 - 1 + (6/x+1)
f(x)=x - 1 g(x)=x2 + 2x - 3 h(x) =1 - 2x
k(x)=2x + 3 p(x)=x2 - 3
Find: h(p(x))
-2x2 + 7
Use long division to solve the following:
(4x3 -8x2 - 3x + 1) / (2x + 1)
2x2 - 5x + 1
f(x)=x - 1 g(x)=x2 + 2x - 3 h(x) =1 - 2x
k(x)=2x + 3 p(x)=x2 - 3
Find: f(h(g(-1)))
8
Write an expression of a rectangular prism that has a width of x + 3, a length of x - 2, and a height of x + 1 in standard form. Determine the volume of the box if x = 4.
x3 + 2x2 - 7x - 2 units2
66 units3
Use long division to solve the following:
(3x4 + x2 - 1) / (x - 2)
3x3 + 6x2 + 13x + 26 + (51/x-2)
f(x)=x - 1 g(x)=x2 + 2x - 3 h(x) =1 - 2x
k(x)=2x + 3 p(x)=x2 - 3
Find: g(k(x))
4x2 + 16x + 12
f(x)=x - 1 g(x)=x2 + 2x - 3 h(x) =1 - 2x
k(x)=2x + 3 p(x)=x2 - 3
Find: (f(p(h(x)))
4x2 - 4x - 3
An artist is making a frame from a piece of pinewood. The pinewood has a length of 2x2 - 3 and a width of x + 4. The artist knows to cut out a rectangle with a length of 3x + 1 and a width of x - 1. What will the area of the frame be when the artist is done?
2x3 + 5x2 - x -13 units2
The school is building a fence around the parking lot. The parking lot has length of x2 + 4x - 5 and a width of 2x2 - 3x + 11.
Write a polynomial in standard form that represents the length of the fence.
If x = 5, what will the dimensions of the fence be.
6x2 + 2x + 12 units
172 units
40 units X 46 units
Grace is moving to Isle of Palms and running low on boxes. She found a 30 by 25 inch piece of cardboard.
If she must cut 4 equal squares from each corner, draw a picture to depict the box.
Express the volume of the moving box as a polynomial in standard form.
Grace is trying to decide if she should cut 2,5, or 6 inch squares from the corners. Which one gives the biggest volume? What would the dimensions of the box be?
4x3-120x2+750 units3
5 inch squares
20in X 15in X 5in
(4x2 - 7x - 7)(3x2 + x + 4)
12x4 - 17x3 - 12x2 -35x - 28