(a) Find a polynomial P ( x ) of degree 3 or less whose graph passes through the four data points ( − 2 , 8 ) , ( 0 , 4 ) , ( 1 , 2 ) , ( 3 , − 2 ) . (b) Describe any other polynomials of degree 4 or less which pass through the four points in part (a).
(a) Find a polynomial P ( x ) of degree 3 or less whose graph passes through the four data points ( − 2 , 8 ) , ( 0 , 4 ) , ( 1 , 2 ) , ( 3 , − 2 ) . (b) Describe any other polynomials of degree 4 or less which pass through the four points in part (a).
Solution Summary: The author explains how the polynomial P(x) of the degree 3 passes through given data points in the given problem.
(a) Find a polynomial
P
(
x
)
of degree 3 or less whose graph passes through the four data points
(
−
2
,
8
)
,
(
0
,
4
)
,
(
1
,
2
)
,
(
3
,
−
2
)
. (b) Describe any other polynomials of degree 4 or less which pass through the four points in part (a).
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.