Polynomials and their Graphs
Describe the end behavior P(x)= 2x3-4x+1
What is:
as x -> infinity, P(x) -> infinity
as x - > infinity, P(x) -> -infinity
(2x^3+4x-7)+(2x^2-8x+1)
2x^3+2x^2-4x-6
(2x2-6x+7)/(x-2)
2x-2+(3/x-2)
Find the roots by factoring x2 + 14 = 9x
What are: 7, 2
Write an equation in factored form for a polynomial with xintercepts at -3,2, and-5
y=(x+3)(x-2)(x+5)
Determine the end behavior for the function P(x)= x4-2x2+2
What is:
as x -> infinity, P(x) -> infinity
as x -> -infinity, P(x) -> infinity
(3x^2+4x-1)-(x^2+5)
2x^2-1x-1
(3x3-8x-4)/(x-1)
3x2+3x-5-(9/x-1)
Solve by factoring: 3y3 + 36y2 = 3y4
0, -3, 4
Write a polynomial function, P, in factored form by using the given information. P is of degree 3; zeros: -1, 2, 4
What is P(x) = (x + 1)(x - 2)(x - 4)
Find the y-intercept for the function P(x)= -x4-3x3+3x+3
What is (0, 3)
(3x+5x+1)(2x^2-2)
16x^3+2x^2-16x-2
Use synthetic division to divide: (x5+6x3-5x4+5x-15) ÷(x-3)
What is x4-2x3+5
Find all the rational roots of the polynomial equation. 4x3 - 13x2 + 11x - 2 = 0
What are: 1/4, 1, 2
Write a polynomial function, P, in factored form. P is of degree 4; zeros: 1 (multiplicity 2), 2 (multiplicity 2)
What is P(x) = (x - 1)^2(x - 2)^2
Find the x-intercepts of the polynomial function P(x)= (2x + 1)(x - 3)(4x + 5)2
What is (-1/2, 0), (3, 0), (-5/4, 0)
Multiply (2x - 4)(x + 1)2
What is 2x3-6x-4
Use synthetic division to divide: (x2+1/2 x-3/16)÷(x+ 3/4)
What is (x - 1/4)
Find all zeros of each polynomial function. B(x) = x3 - 4x2 - 3x + 12
What are: 4, and +- sqrt(3)
Write an equation in standard form for the polynomial with x-intercepts -2 and 3i
y=x3+2x2+3x+6
Tell where the x-intercepts are and whether the graph crosses or touches at each x-intercept for the polynomial function P(x)= (2x + 3)(x2 - 16x + 64)
What is Crosses at (-3/2, 0) Touches at (8, 0)
Find the perimeter and area of a rectangle that has a length=2x-1 and a width=3x2+4
P=6x2+4x+6
A=6x3-3x2+8x-4
(5x7-6x4+8x3-10)/(x-2)
5x6+10x5+20x4+34x3+76x2+152x+304+(598/x-2)
Find all zeros of the polynomial function. H(x) = x4 + 16x - x2 + 4x3 - 20
What are: -5, 1, + or - 2i
Write an equation in standard form for the polynomial with x-intercepts -1 and 1+i
x3+2x2+3x+2