Question

8x^3-27=0

Solve the polynomial equation by finding all roots.
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Answer 1

Step-by-step explanation:

8x^3-27=0

(2x) ³-(3)³=0

(2x-3)(4x²+12x+9)

=(2x-3)(4x²+6x+6x+9)

=(2x-3)(2x(2x+3)+3(2x+3))

=(2x-3)(2x+3)(2x+3)

so

x=3/2, -3/2, -3/2

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