Question

Use the rational zeros theorem to list all possible rational zeros of the following.

h(x)=-2x⁴ +7x³ -8x² + 9x+3

Be sure that no value in your list appears more than once.

Answer 1

The rational zeros of h(x) = -2x⁴ + 7x³ - 8x² + 9x + 3 are all the factors of 3 divided by all the factors of -2.

Step-by-step explanation:

The rational zeros theorem states that if a polynomial function has a rational zero, then that zero must be a factor of the constant term divided by a factor of the leading coefficient.

In the given function h(x) = -2x⁴ + 7x³ - 8x² + 9x + 3, the constant term is 3 and the leading coefficient is -2.

Therefore, the possible rational zeros of h(x) are all the factors of 3 divided by all the factors of -2.