Question: Let T: P 3 (R)P 3 (R) be defined by T(f(x))=f(x)+f(x). You may assume, without proof, that T is linear. Use the kernel of T

Let T: P3(R)P3(R) be defined by T(f(x))=f(x)+f(x). You may assume, without proof, that T is linear.

Use the kernel of T to determine whether or not T is injective.

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