1. Let V be the set of all polynomials of the degree less than or equal...

Transcribed Image Text:

1. Let V be the set of all polynomials of the degree less than or equal to two. Determine whether V is a vector space under the standard scalar multiplication and vector addition defined as (ao + a1x+a2x) + (b0 + bx + bx) = (a + bx + a2x), Vao, a1, a2, bo, b1, b2 R. Justify your answer. 1. Let V be the set of all polynomials of the degree less than or equal to two. Determine whether V is a vector space under the standard scalar multiplication and vector addition defined as (ao + a1x+a2x) + (b0 + bx + bx) = (a + bx + a2x), Vao, a1, a2, bo, b1, b2 R. Justify your answer.