What are the roots of the polynomial equation x superscript 4 baseline x cubed = 4 x squared 4 x? use a graphing calculator and

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2 years ago

15

a system of equations.

1 answer:

Reika [66] · Answer 1 · 2023-05-03T07:31:02+03:00

Reika [66]2 years ago

4 0

The roots of the polynomial equation x superscript 4 baseline x cubed = 4 x squared 4 x are –2, –1, 0, 2.

The polynomial equation is given as:

$x^4+x^3-4x^2-4x=0\\x(x^3+x^2-4x-4)=0\\x=0\\OR\\\\x^3+x^2-4x-4=0\\(x-2)(x+2)(x+1)=0\\x=-1,-2,0,2$

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