question archive Determine if the statement is true or false
Determine if the statement is true or false
Subject:MathPrice: Bought3
Determine if the statement is true or false. (show your work)
1. The polynomial x−a divides p(x) if and only if p(a) = 0.
2. Every nonconstant real polynomial has a real root.
3. The follow homogeneous system of equations has infinitely many solutions:
x−2y−2z = 0
2x−6y−7z = 0
−4x+10y+10z = 0
4. The linear map T: P1(R) → R3 defined by T(p(x)) = (p(1), p(2), p(3)) is surjective.
