I have dosed off in class way too many times and I need help with a few problems:

#1

Suppose T: P_2 -> P_2 is a linear operator and

T(1)=2+3x

T(x)=1+x^2

T(x^2)=5-x+3x^2

Find T(2-x+2x^2)

A simple hint in the right direction would be greatly appreciated.

Advathanksnce!

#1

Suppose T: P_2 -> P_2 is a linear operator and

T(1)=2+3x

T(x)=1+x^2

T(x^2)=5-x+3x^2

Find T(2-x+2x^2)

A simple hint in the right direction would be greatly appreciated.

Advathanksnce!

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