(a) Find a polynomial P ( x ) of degree 3 or less whose graph passes through the points ( 0 , 0 ) , ( 1 , 1 ) , ( 2 , 2 ) , ( 3 , 7 ) . (b) Find two other polynomials (of any degree) that pass through these four points. (C) Decide whether there exists a polynomial P ( x ) of degree 3 or less whose graph passes through the points ( 0 , 0 ) , ( 1 , 1 ) , ( 2 , 2 ) , ( 3 , 7 ) , and ( 4 , 2 ) .
(a) Find a polynomial P ( x ) of degree 3 or less whose graph passes through the points ( 0 , 0 ) , ( 1 , 1 ) , ( 2 , 2 ) , ( 3 , 7 ) . (b) Find two other polynomials (of any degree) that pass through these four points. (C) Decide whether there exists a polynomial P ( x ) of degree 3 or less whose graph passes through the points ( 0 , 0 ) , ( 1 , 1 ) , ( 2 , 2 ) , ( 3 , 7 ) , and ( 4 , 2 ) .
(a) Find a polynomial
P
(
x
)
of degree 3 or less whose graph passes through the points
(
0
,
0
)
,
(
1
,
1
)
,
(
2
,
2
)
,
(
3
,
7
)
. (b) Find two other polynomials (of any degree) that pass through these four points. (C) Decide whether there exists a polynomial
P
(
x
)
of degree 3 or less whose graph passes through the points
(
0
,
0
)
,
(
1
,
1
)
,
(
2
,
2
)
,
(
3
,
7
)
, and
(
4
,
2
)
.
Discrete Mathematics and Its Applications ( 8th International Edition ) ISBN:9781260091991
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