Write a third-degree polynomial function whose zeros are 1, −3, and 4.
2 answers:
Recall that zeroes can be transformed into factors by subtracting them from x. This gives us the following factors: (x - 1)(x + 3)(x - 4) Now, if you multiply the first two factors together, you get the following: (x² + 2x - 3) Multiply that by the last factor, (x - 4), and you get this: (x³ + 2x² - 3x - 4x² - 8x + 12) This can be simplified:(x³ - 2x² - 11x + 12) And there's your final answer. Hope this helped!
<span>(x³ - 2x² - 11x + 12)</span>
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