Question

Zeros of Polynomial Functions
Other one please help!
y = 1/4x4 - 3x2

Answer 1

x = 0 is a zero

Answer 2

\[{ 1 \over 4 } x^4 -3x^2\]
\[x^2({1 \over 4 } x^2 - 3)\]
\[x = 0\] OR \[{1 \over 4}x^2 -3 = 0\]
\[x^2=12\]
\[x = 2\sqrt{3}\]OR
\[x=-2\sqrt{3}\]

Answer 3

y = 1/4x^4 - 3x^2


0 = 1/4x^4 - 3x^2


1/4x^4 - 3x^2 = 0


x^4-12x^2 = 0


z^2 - 12z = 0 ... note: z = x^2


z(z-12) = 0


z = 0 or z-12 =0


z = 0 or z = 12


x^2 = 0 or x^2 = 12


x = 0, x = sqrt(12) or x = -sqrt(12)


x = 0, x = 2*sqrt(3) or x = -2*sqrt(3)

Answer 4

Thank u!!! So much!