How can I write this expression as a linear combination of three

vectors (polynomials) in P3 p(x) = a + bx + cx^2 +(-a-c)x^3?

Thank you

Printable View

- Jan 30th 2011, 02:13 PMAkilMAILinear Combination
How can I write this expression as a linear combination of three

vectors (polynomials) in P3 p(x) = a + bx + cx^2 +(-a-c)x^3?

Thank you - Jan 30th 2011, 02:22 PMdwsmith
- Jan 30th 2011, 03:27 PMHallsofIvy
dwsmith is right, that is a linear combination, but I suspect what they want is $\displaystyle a + bx + cx^2 +(-a-c)x^3= a(1- x^3)+ bx+ c(x^2- x^3)$ where "a", "b", and "c" are the coefficients of the linear combination.

- Jan 30th 2011, 03:28 PMdwsmith