Classifying Polynomials
Find the degree of the monomial: 23x4
4
(4r + 3) + (6r + 5) =
10r + 8
(y + 6)(y + 4)
y2 + 10y + 24
x2 - 14x + 24
(x - 2) (x- 12)
x2 - 36
(x + 6)(x - 6)
Write in standard form:
5x + 2x3 + 3x4
3x4 + 2x3 + 5x
(6x + 9) - (7x + 1)
-x + 8
(5s + 6)(s - 2)
5s2 - 4s - 12
y2 + 2y - 48
(y - 6)( y + 8)
m2 - 2m + 1
(m - 1)2
What is the leading coefficient?
4w11 - w12
(-3p3 + 5p2 - 2p) + (-p3 - 8p2 - 15p)
-4p3 - 3p2 - 17p
(3x + 4)2
9x2 + 24x + 16
3x2 - 14x + 8
(3x - 2)( x - 4)
Solve the equation.
2k2 - 5k - 18 = 0
-2 and 4.5
Classify the polynomial by the number of terms.
7 + 3p2
Binomial
(y2 - 4y + 9) - (3y2 -6y - 9)
-2y2 + 2y + 18
(w + 5)(w2 + 3w)
w3 + 8w2 + 15w
-5m2 + 6m - 1
-(m-1)(5m - 1)
3x3 + 6x2 - 18x
3x(x2 + 2x - 6)
What is the degree?
8d - 2 - 4d3
3
(k3 - 7k + 2) - (k2 - 12)
k3 - k2 - 7k + 14
(x+4)(x2 + 3x + 2)
x3 +7x2 + 14x + 8
4k2 + 28k + 48
x3 + 3x2 + 2x + 6
(x + 3)(x2 + 2)
The expression below represents the volume of a sphere with a radius, r. Why is this expression a monomial? What is it degree?
(4/3)pir^3
It is only group multiplied by another.
3
You drop a ball from a height of 98 feet. At the same time, your friend throws a ball upward. The polynomials represent the heights(in feet) of the balls after t seconds.
-16t2 + 98
-16t2 + 46t + 6
Write a polynomial that represents the distance between your ball and your friend's ball after t seconds.
-46t + 92
A rectangular football field with a length of (10x + 10) ft and a width of (4x + 20) ft.
Write a polynomial that represents the area of the football field.
4x2 + 240x + 200 ft2
The area of the school sign can be represented by 15x2 - x - 2.
If the width is (3x + 1), what would be the length?
(5x - 2)
2y3 - 12y2 + 18y
2y(y - 3)2