Question

Use coordinate vectors to test the linear independence of the sets of polynomials.

A) reveals the orthogonal properties of the polynomials
B) simplifies the process of polynomial factorization
C) helps determine if polynomials are scalar multiples of each other
D) ensures the polynomials have the same leading coefficient

Answer 1

Coordinate vectors can be used to test the linear independence of sets of polynomials by revealing their orthogonal properties.

Step-by-step explanation:

The process of testing the linear independence of sets of polynomials can be simplified by using coordinate vectors. Coordinate vectors reveal the orthogonal properties of polynomials, which means that the scalar product of orthogonal vectors vanishes. By representing polynomials as vectors in a coordinate system, we can calculate the scalar product of the vectors to determine if they are linearly independent.