Polynomials
What are the three types of polynomials that we label?
Monomial, Binomial, and Trinomial
(x2+4)+(10x2-13)
x2-9
What is the greatest common factor between 4x8 and 6x2?
2x2
2x(3x4+5x+3)
6x5+10x2+6x
x=-4 or 2
3x2+5x-8
List what the leading term, coefficient of x, and constant is:
3x2,5,-8
(a2-4a+6)+(-3a2+13a+1)
-2a2+9a+7
x2-49
(x-7)(x+7)
(2x+2)(x-3)
2x2-4x-6
What does the v, t, and s stand for in the following equations:
h=-16t2+vt+s
v-velocity
t-time
s-starting height
What is the difference between factors and terms?
Factors multiply together to make a polynomial and terms are pieces that make up a polynomial.
(x3-y)+(y2+2)=
(x3-y)+(y2+2)
x2+8x+7
(x+1)(x+7)
x3(y+3x2)
x3y+3x5
(2x-1)(x+2)=0
x=1/2 and x=-2
What kind of polynomials are these?
a) x5-x3
b) x+y-18
a:Binomial
b:Trinomial
(7x2-4x+14)-(2x2-4x-4)
5x2+18
(2n-5)(n-3)
(5p-6)(5p+6)
25p2-36
Set up an equation given h=-16t2+vt+s and that a ball is thrown from a height of 7 ft and at a velocity of 40.9 ft per second.
h=-16t2+40.9t+7
What is the leading coefficient of 5x4+3x5-2x+100
3
y2+36x+2 - (10x-20)
y2+26x+22
-3x2+75
(-3n+15)(n+5)
(2t+3)2
4t2+12t+9
Factor and solve: 12x2-24x=0
x=0 or x=2