SOLUTION: How do I determine the polynomial function of least degree whose graph passes through the given points (−1, 2), (0, 0), (1, 1), (4, 58), p(x)=?
Thank you!!!
Algebra.Com
Question 896428: How do I determine the polynomial function of least degree whose graph passes through the given points (−1, 2), (0, 0), (1, 1), (4, 58), p(x)=?
Thank you!!!
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
One root of p is zero, so you can begin with , to try to find a CUBIC polynomial.
The other three points let you form a system of three equations.
-
-
, using (-1,2).
, using (1,1).
, using point (4,58).
Solve for the coefficients a, b, c in the system
R2+R1, and R3+32*R1,
R3-20*R2
and one small division of R3 by constant, scaler
Which indicates .
Using that continuing without further matrix operations,
and .
Putting this all into expected cubic p(x),
.
This was not checked but it should be checked.
RELATED QUESTIONS
Consider the following points.
(−1, 2), (0, 0), (1, 1), (4, 58) Determine the... (answered by greenestamps)
Consider the following points.
(−2, 48), (−1, 0), (0, −16), (1,... (answered by greenestamps)
Consider the following points.
(2013, 8), (2014, 9), (2015, 13)
(a) Determine the... (answered by Alan3354)
Find a polynomial function whose graph passes through each set of points. (-2,10) (-1,-4) (answered by josgarithmetic)
determine the poynomial whose graph passes through the points (-1,1), (0,-2), (1,0), and... (answered by solver91311)
Find the polynomial function whose graph passes through (-1,2), (0,-4), (1,-4), and... (answered by Fombitz)
Find a polynomial function whose graph passes through... (answered by josgarithmetic,Edwin McCravy)
Find the quadratic function y = a (x-h)^2 whose graph passes through the given points.... (answered by ikleyn,greenestamps,math_tutor2020)
Find a polynomial function whose graph passes through (-1,-11),(0,-6),(1,-3), and... (answered by Fombitz)