Question

Assignt

Describe the coefficients of a cubic polynomial function of that has one rational zero, a, and two irrational zeros, √band -√b, where b is rational.
OA Some are irrational numbers.
O B. They are all complex numbers.
O C. They are all rational numbers.
OD. They are all irrational numbers.

Answer 1

The coefficients of a cubic polynomial function with one rational zero and two irrational zeros can have a mix of rational and irrational numbers.

Step-by-step explanation:

The coefficients of a cubic polynomial function with one rational zero, a, and two irrational zeros, √b and -√b, where b is rational, can have a mix of rational and irrational numbers.

In this case, let's consider the polynomial function with a = 1, b = 10.0, and c = -200.

The polynomial function will be:

f(x) = (x - a)(x - √b)(x + √b)

So, the coefficients of this cubic polynomial function are: 1, (√b + a + a√b), (a√b - a - a√b), and ((-a)(√b)).

In this particular case, the coefficients have a mix of rational and irrational numbers.