Understanding Polynomial Functions

What is the general form of a polynomial function?

• P(x) = a_n * x^n + a_(n-1) * x^(n-1) + ... + a_1 * x + a_0

• P(x) = a_n * x^n + a_(n-1) * x^(n-1) + ... + a_1 * x^2 + a_0

• P(x) = a_n * x^n + a_(n-1) * x^(n-1) + ... + a_1 * x^3 + a_0

• P(x) = a_n * x^n + a_(n-1) * x^(n-1) + ... + a_1 * x^4 + a_0

Which of the following is NOT a restriction for a polynomial function?

• No variable inside a radical sign

• No positive exponents

• No negative exponents

• No fractional exponents

Why is the function y = 5x^3 - 4√2x + x not a polynomial?

• It has a variable inside a radical sign

• It has a variable in the denominator

• It has a fractional exponent

• It has a negative exponent

Which of the following functions is a polynomial?

• y = 1/2x^3 + 2/3x^4 - 3/4x^5

• y = x^(3/4) + 3x^(1/4) + 7

• y = 5x^(-2) + 3

• y = x^3 + 2x + y

What is the degree of the polynomial y = x^4 + 2x^3 - x^2 + 14x - 56?

• Third degree

• Second degree

• Fifth degree

• Fourth degree

In the polynomial y = 2x^2 - 11x + 2, what is the leading coefficient?

• 2

• -11

• 1

• 0

What is the constant term in the polynomial y = x^4 + 2x^3 - x^2 + 14x - 56?

• 0

• -56

• 14

• 2

What is the leading term in the polynomial y = 2x^2 - 11x + 2?

• 2x^2

• x

• -11x

• 2

What is the degree of the polynomial y = x(x^2 - 5)?

• Third degree

• First degree

• Second degree

• Fourth degree

Which of the following is a characteristic of a polynomial function?

• It can have variables in the denominator

• It can have negative exponents

• It can have fractional exponents

• It has non-negative integer exponents