This website is only viewable in landscape mode.

Polynomial_Functions

Concept:

Polynomial functions are functions of the form:

f(x)=anxn + an-1xn-1+ . . . + a1x + a0

where n is a nonnegative integer and an ≠ 0.

The numbers a0, a1, . . . , an are the coefficients of the polynomial function, and the number n is the degree of the polynomial.

Sorry, your browser does not support this application. The following browsers are supported:

Google Chrome
Mozilla Firefox
Opera
Input up to 10 ordered pairs by entering their coordinates in the space below, and then click "GO"
( ,
),
( ,
),
( ,
),
( ,
),
( ,
),
( ,
),
( ,
),
( ,
),
V.Zoom
( ,
),
( ,
)
x =
y =
p(x) =
x9 x8 x7 x6 x5 x4 x3 x2 x

INSTRUCTIONS

EXPLORATIONS

PRACTICE QUESTIONS

1 2 3 4 5
1. What is the degree of the polynomial that passes through the points
(–6, –11), (–2, 3), (2, 9), (6, 7), and
(10, –3)?
2. Which set of points all lie on the graph of the polynomial
p(x) = 2x3 – 3x2 + x + 3?
3. A polynomial p(x) passes through the points (–3, –24), (–1, –1), (3, 14),
(5, 57), (1, 2), and (0.5, 0.5). What is p(2.3)?
4. Which number is NOT a coefficient of the polynomial whose graph contains the points (–4, 5177), (0, 9), (2, 7.4), (4, –16.6), (6, 9), (10, –31), and
(16, 41)?
5. Which polynomial passes through the points (0, –1), (1, 1), (–1, –3), (2, 3), (–2, –125), (3, 125), (–3, –847),
(4, 847), (–4, –3249), and (6, 9251)?

n be any number from to

t can be any number from to