Question: 4. (5 points total) Consider L : P3 - R- by L(at + by2 + ct+d) = atd c - 2d a. (2 points) Verify

4. (5 points total) Consider L : P3 - R- by L(at + by2 + ct+d) = atd c - 2d a. (2 points) Verify that L is a linear transformation. b. (2 points) Find a basis for the kernel of L. Show all work. Is L one-to-one/injective? c. (1 point) Find the dimension for the image of L. Show all work. Is L onto/surjective

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