Polynomials
Find the degree and leading coefficient of
f(x)=−4x5+3x2−7
Degree = 5, Leading coefficient = –4
x2+4=0
+-2i
x2−9/x+3
x-3
2x3−8x2−18x
2x(x2−4x−9)
What animal can sleep standing up?
Horses
Determine the end behavior of
f(x)=2x4−5x2+1
x→+∞, f(x)→+∞
x2−6x+13=0
x=3±2i
x2−4/x2−5x+6
x+2/x-3
x4−5x2+4
(x−2)(x+2)(x−1)(x+1)
How many hearts does an octopus have?
Three
A polynomial has zeros at x=2 (mult. 2) and x=−1
Write a polynomial function with integer coefficients.
f(x)=(x−2)2(x+1)
3x2−2x+7=0
1±2sqrt5i/3
x2−7x+12/x2-9
x-4/x+3
x4−16=0
(x−2)(x+2)(x2+4)
What color is the “black box” in an airplane?
Orange
factor
f(x)=x4−6x2+5
(x2−1)(x2−5)
Write in vertex form:
y=x2−8x+20
y=(x−4)2+4
x/x-2 - 3/x+2 =1
x=10
The height (in feet) of an object is given by:
h(t)=−16t2+64t+5h
a) When does it hit the ground?
t≈4.1
What animal can hold its breath longer than a dolphin?
Sloth
(2x4−3x3+5x−7)÷(x−2)
2x3+x2+2x+9 + 11/x-2
Use completing the square to factor
3x2−12x+5=0
2+- sqrt7/3
2/x-1 + 3/x-4 = 5/x-1
no solution
A ball is launched from a platform. Its height (in feet) after t seconds is:
−16t2+80t+64=0
A) When does the ball hit the ground?
B) What is the maximum height?
5.7 , 164
What does this word mean?
Hippopotomonstrosesquipedaliophobia
fear of long words