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20-02-2021
Mathematics

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Rewrite f(x)=3x^4 - 9x^2 - 12 in factored form if f(2) = 0

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20-02-2021

Answer:

Step-by-step explanation:

3x^4 - 9x^2 - 12 = 0

x^4 - 3x^2 - 4 = 0

x^2 = [3 ± √(3^2-4(1)(-4))]/[2(1)] = [3 ± 5]/2 = 4,-1

f(x) = 3(x^2-4)(x^2+1) = 3(x+2)(x-2)(x^2+1)

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