- #1

seang

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## Homework Statement

Determine whether the set of polynomials of degree 3 form a subspace of P(4)

## Homework Equations

[tex]P(4) = c_3 x^3 + c_2 x^2 + c_1 x + c_0[/tex]

## The Attempt at a Solution

[tex]\alpha P(4_1) = \alpha c_3 x^3 + \alpha c_2 x^2 + \alpha c_1 x + \alpha c_0[/tex]

This just scales the coefficients, right? It would still be a polynomial of degree 3 I think...

For addition, wouldn't you just be adding two polynomials? So wouldn't you just obtain another degree 3 polynomial?

Thanks, Sean.

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