SOLUTION: Solve the polynomial equation by factoring and then using the zero product principle: 5x^3+4x^2=20x+16 Answer choices: A.) {-4/5, 2} B.) {-2, 2} C.) {-4/5, 0} D.) {-2, -4/5

SOLUTION: Solve the polynomial equation by factoring and then using the zero product principle: 5x^3+4x^2=20x+16 Answer choices: A.) {-4/5, 2} B.) {-2, 2} C.) {-4/5, 0} D.) {-2, -4/5

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Question 337506: Solve the polynomial equation by factoring and then using the zero product principle:
5x^3+4x^2=20x+16
Answer choices:
A.) {-4/5, 2}
B.) {-2, 2}
C.) {-4/5, 0}
D.) {-2, -4/5, 2}
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
5x^3+4x^2=20x+16
5x^3+4x^2-20x-16=0
x^2(5x+4)-4(5x+4)=0
(5x+4)(x^2-4)=0
(5x+4)(x+2)(x-2)=0
x= -4/5, -2,+2
D is correct
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