Formula: 3x^2 +2

f(x) =3x

^{2}+ 2If by rational zeros you mean values of x where f(x) goes to zero, there are none.

This is an equation of a parabola whose vertex is at (0, 2). f(x) never gets closer to 0 than that.

Formula: 3x^2 +2

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Aliquippa, PA

f(x) =3x^{2} + 2

If by rational zeros you mean values of x where f(x) goes to zero, there are none.

This is an equation of a parabola whose vertex is at (0, 2). f(x) never gets closer to 0 than that.

Woodland Hills, CA

3 X^2 + 2 is a positive quantity for all values of X, there is no rationl number that makes a positive quantity 0.

Westford, MA

The zeros of 3x^2 + 2 are the values of x that make the expression evaluate to zero.

Solve 3x^2 + 2 = 0.

Subtract 2 from both sides:

3x^2 = -2

x^2 = -2/3

|x| = i √(2/3)

x = ± i (√(6))/3

The zeros are complex (imaginary) numbers which are not rational. ("Rational" means a ratio (fraction) of integers.) NOT that it matters to the answer, but here even the coefficients of i are irrational.

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