(a) Confirm the accuracy of the factorization x2 − 5x + 6 = (x − 2)(x − 3) graphically. [Hint: Graph y = x2 − 5x + 6 and y = (x − 2)(x − 3) on the same screen. If the factorization is correct, the graphs will be identical (which means that you will see only a single graph on the screen).]
(b) Show graphically that (x + 5)2 ≠ x2 + 52. [Hint: Graph y = (x + 5)2 and y = x2 + 52 on the same screen. If the graphs are different, then the two expressions cannot be equal.]
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