Consider the vector space p2 of polynomials of degree at most 2 with real coefficients. let s={-8x^2 + 4x – 5, -2x + 5). a. give an example of a nonzero polynomial p(x) that is an element of span(s). p(x) = b. give an example of a polynomial q(x) that is not an element of span(s). 9(x) = note: if you receive the message "this answer is equivalent to the one you just submitted", ignore it. the message is caused by a bug and has no meaning.

a. Any vector in the span of is a linear combination of the vectors in . The simplest one we could come up with is the addition of the two vectors we know:

b. Since one vector is quadratic while the other is purely linear, there is no choice of such that

because the only way to eliminate the term is to pick , but there's no way to eliminate the remaining constant term.

-7/8

step-by-step explanation:

instead of subtracting you add the -6/8 and -1/8