Question

Enter the function rule for a polynomial with at least three terms p(x) whose degree is n≥3.

Answer 1

The function rule for a polynomial with at least three terms and a degree of n≥3 is p(x) = anxn + an-1xn-1 + an-2xn-2 + ... + a2x2 + a1x + a0.

Step-by-step explanation:

A polynomial with at least three terms and a degree of n≥3 can be represented by the function rule:

p(x) = anxn + an-1xn-1 + an-2xn-2 + ... + a2x2 + a1x + a0

Where an, an-1, an-2, ..., a2, a1, a0 are constant coefficients.

Answer 2

The function rule for a polynomial with at least three terms and a degree of n≥3 is given by the general formula p(x) = a_nx^n + a_{n-1}x^{n-1} + … + a_1x + a_0, where n is the degree and a_n is not zero.

Step-by-step explanation:

To enter the function rule for a polynomial p(x) with at least three terms whose degree is n≥3, you can follow the general form of a polynomial:

p(x) = a_nx^n + a_{n-1}x^{n-1} + … + a_2x^2 + a_1x + a_0

Where:

• a_n is the leading coefficient and is not zero
• n is the degree of the polynomial
• The coefficients a_{n-1}, ..., a_0 are real numbers
• The exponents are in descending order from n to 0
• At least three terms are present

An example of such a polynomial with degree 3 (since n ≥ 3) could be:

p(x) = 2x^3 + 3x^2 - x + 5

This polynomial has four terms, and the highest degree term is x^3, which makes it a cubic polynomial.