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explain why we need to define the vector space p n as the set of all polynomials with degree up to and including n instead of the more obvious set of all polynomials of degree exactly n .

Sagot :

Any n-dimensional vector should be able to be represented in space

What is standard form of a polynomial?

When expressing a polynomial in its standard form, the greatest degree of terms are written first, followed by the next degree, and so on.

To find the degree of the polynomial, add up the exponents of each term and select the highest sum ( if there are more than 1 variable in single term) or highest power of variable

Any n-dimensional vector should be able to be represented in space.

If it only has terms of degree n, it can only express polynomials of degree n.

To learn more about the standard form of a polynomial from the given link

https://brainly.com/question/26552651

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