classifying Polynomials
classify the polynomial:
5
constant monomial
identify the end behavior:
a is positive, n is even
up and up
divide using long division
672/21
solution = 32
the number of roots are either equal to the number of signs or less then that by an...
a. even number
b. odd number
even number
list the numbers in row 3 of pascals triangle.
1,3,3,1
what is the degree?
4x2
2
identify the end behavior:
a is negative, n is odd
up and down
divide using long division:
2x+1/6x2+7x+2
solution = 3x+2
what are the positive real roots of the following equation?
x3-x2+1 = 0
positive roots: 2,0
what is the expanded form of row 2?
1a2+2ab+1b2
Classify the polynomial:
4x3-2x2+x
cubic trinomial
identify the end behavior:
y=4x3-3x
a=4, n=3
down and up
divide using long division
4x2+23x-16/x+5
solution = 4x+3, remainder -31
what are the positive real roots of the following?
2x4-x3+3x2-1 = 0
positive roots: 3,1
what is the expanded form of row 4?
1a4+4a3b+6a2b2+4ab3+1b4
classify by degree and name:
2x4+5x2
quartic binomial with degree of 4
identify the end behavior:
-2x4+8x3-8x2+2
a=-2, n=4
down and down
divide using synthetic division:
x3-14x2+51x-54/x+2
solution = x2-16x+83, R: -220
what is the negative roots of the following?
x3-x2+1 = 0
negative roots = 1
expand (2x-3)3 using the binomial theory
8x3-36x2+54x-27
classify by degree and name:
-x5+4x2+2x+1
quantic polynomial of 4 terms with degree of 5
identify the end behavior:
y=-7x4+8x6-2
y=8x6-7x4-2
a=8, n=6
up and up
divide using synthetic division
x3-57x+56/x-7
solution = x2+7x-8, R: 0
what is the negative roots of the following?
2x4-x3+3x2-1 = 0
expand (3x-2)5 using the binomial theory
243x5-810x4+1080x3-720x2+240x-32