Solve using the zero product property. Be sure each equation is in standard form and factor out any common factors before attempting to solve. Check all answers in the original equation. -3x⁴ + 33x³ = 84x² A) x = -7, x = -4, x = 0 B) x = 7, x = -4, x = 0 C) x = -7, x = 4, x = 0 D) x = 7, x = 4, x = 0

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Quizplus · Accepted Answer

First, simplify the equation to its standard form: -3x^3 + 33x^2 - 84x = 0. Factoring out the common factor, x, gives x(-3x^2 + 33x - 84) = 0. Further factoring gives x(x-7)(x-4) = 0. Setting each factor equal to zero gives the solutions x = 0, x = 7, and x = 4.

Solve Using the Zero Product Property