In a vectorspace P₂(R) of polynomia of max grade 2 we look at a subsetU={P(x)(P2)(R)P(4)=0}

a) Show that U is a subspace og the vectorspace P₂(R). b) Choose a basis for U of the following five polynomias

{4x,4x2,82x,168x+x2,127x+x2} c)Specify a linear transformation, that has U as core.

f:P2(R)R