Use the rational zero theorem to create a list of all possible rational zeroes of the function f(x) = 6x^4 - 3x^2 + 2

B) +/- 1, +/-2, +/- , +/-, +/-

Step-by-step explanation:

Definition of Rational Zero Theorem.

If P(x) is a polynomial with integer coefficients and if p/q is a zero of P(x) P(p/q) = 0), then p is a factor of the constant term of P(x) and q is a factor of the leading coefficient of P(x).

We are given the polynomial f(x) = 6x^4 - 3x^2 + 2

Here the constant term is 2 and the leading coefficient is 6.

Now find the factors of 2 and 6.

Factors of 2: 1, -1, 2, -2

Factors of 6: 1, -1, 2, -2, 3, -3, 6, -6

Possible values of p/q is

+/-1, +/-2, +/- 1/2, +/-1/3, +/- 1/6, +/-2/3

The answer is B) +/- 1, +/-2, +/- , +/-, +/-

Thank you.

what are the options? ?

step-by-step explanation:

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!