Vocabulary
Fundamental Theorem of Algebra
Find Polynomials With Zeroes
Pascal's Triangle
Modeling Data
100
The Fundamental Theorem of Algebra states that if P(x) is a polynomial with a degree n≥ 1, then P(x) has exactly
What is n roots?
100
The number of zeroes in the polynomial of the following graph
What are two real zeros?
100
The polynomial with roots: (x - 3)(x + 1)(x - 2)
What is x^3 - 4x^2 + x + 6?
100
The last row in the extract of the Pascal Triangle corresponds with the coefficients of a polynomial of which degree
What is 5?
100
According to the (n+1) Point Principle, the polynomial of the graph that passes through the following points
(-5,6), (-4,3), (0,2), (2,4), and (5,10).
What is quartic?
200
A triangular array of numbers that indicates the coefficients of the expansion of polynomials based on their degree.
What is Pascal's Triangle?
200
The number of roots in the following function
3x^4 + 36x^2 + x^7
What is 7?
200
The polynomial with roots: (t-2), (t+1), (t+1)
What is t^3 -3t -2?
200
The expansion of
(x - y)^3
What is x^3 - 3x^2 y + 3xy^2 - y^3?
200
The polynomial function whose graph passes through the set of points
(0, 5) and (2, -13).
What is -9x + 5?
300
Gives a general formula for expanding a binomial
What is the Binomial Theorem?
300
The possible rational roots of the following polynomial
x^4 + 3x^3 - x^2 - 3x - 6
What is +/- 1, +/- 2, +/- 3, +/- 6?
300
The polynomial with roots: -1/2, i, -i, -1, and 1
What is 2x^5 + x^4 - 2x - 1?
300
The expansion of
(a+2)^4
What is a^4 + 8a^3 + 24a^2 + 32a + 16?
300
The polynomial function whose graph passes through the set of points
(-2, -16), (3, 11), and (0,2)
What is -1.2x^2 + 6.6x + 2?
400
The Fundamental Theorem of Algebra can help determine the number of roots including the _____ and _______ roots.
What is multiple and complex?
400
The roots of
x^3 - 3x^2 + x - 3
What is 3, i, and -i?
400
The polynomial with roots: 1, 2, 3/5
What is ((x-1)(5x-3)(x-2))/5
400
The expansion of
(3w - 7)^4
What is 3w^4 + 4(3w)^3 (-7) + 6(3w)^2 (-7)^2 + 4(3w) (-7)^3 + (-7)^4
OR
81w^4 - 756w^3 + 2646w^2 - 4116w + 2401?
400
The polynomial function whose graph passes through the set of points
(-1, 9), (0, 6), (1, 5), and (2, 18).
What is 2x^3 + x^2 - 4x + 6?
500
For any set of (n + 1) points in the coordinate plane that pass the vertical line test, there is a unique polynomial of a degree of ______ that fits the points perfectly.
What is at most n?
500
The roots of
2x^4 + 3x^3 - 17x^2 - 27x - 9 = 0
What is x= -1, x= -1/2, x= -3, x= 3?
500
The polynomial with roots: √ 2 and -i
What is x^2-√2x -√2i+xi?
500
The expansion of
(2z + 16)^6
What is (2z)^6 + (2z)^5 (16)^2 + (2z)^4 (16)^3 + (2z)^3 (16)^4 + (2z)^2 (16)^5 + (2z) (16)^6
OR
64z^6 + 3072z^5 + 61440z^4 + 655360z^3 + 3932160z^2 + 12582912z + 16777216?
500
The polynomial function whose graph passes through the set of points
(-2, -65), (-1, -14), (0, -4), (1, 2), and (2, 90).
What is 3.72x^4 + 10.25x^3 - 12.44x^2 - 2.25x + 3?