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Find the zeros of the following polynomial p(x) = 3x³ + 9x² - 12x​

User Marcolopes
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1 Answer

5 votes

Answer:

x = - 4, x = 0, x = 1

Explanation:

To find the zeros equate p(x) to zero, that is

3x³ + 9x² - 12x = 0 ← divide through by 3

x³ + 3x² - 4x = 0 ← factor out x from each term

x(x² + 3x - 4) = 0

x(x + 4)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x = 0

x + 4 = 0 ⇒ x = - 4

x - 1 = 0 ⇒ x = 1

User Trinth
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