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Question: Which of the following polynomial functions has leading coefficient 3, degree 3 and - 1, 3 and 5 as real zeros?


A ) f (x) = 3x3 - 21x2 + 21x + 45
B ) f (x) = 33 - 21x2 + 2x - 2
C ) f (x) = 33 - 21x2 - 21x - 45
D ) f (x) = 3x3 - 21x2 + 21x - 25

Steps to derive

1 The polynomial function with leading coefficient 3, degree 3 with -1, 3 and 5 as real zeros is f (x) = 3 (x + 1) (x - 3) (x - 5).

2 = 3 (x + 1) (x2 - 8x + 15)

3 f (x) = 3x3 - 21x2 + 21x + 45.



Hence the right answer is Option A

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