Polynomial Functions Mastery

What is a polynomial function?

• A polynomial function is a type of logarithmic function.

• A polynomial function is an expression of the form f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n are constants and n is a non-negative integer.

• A polynomial function can only have negative integer exponents.

• A polynomial function is defined as f(x) = a*x + b, where a and b are any real numbers.

Identify the polynomial function: f(x) = 3x^2 + 2x - 5

• f(x) = 3x^2 + 2x - 5 is a polynomial function.

• f(x) = 3x^2 + 2 is a polynomial function.

• f(x) = x^3 - 4x + 1 is a polynomial function.

• f(x) = 2x^2 + 3x - 5 is a polynomial function.

Is g(x) = 4/x + 1 a polynomial function? Why or why not?

• Yes, g(x) is a polynomial function because it has a constant term.

• No, g(x) is not a polynomial function.

• g(x) is a polynomial function because it is a rational expression.

• g(x) is a polynomial function since it is defined for all x.

Add the polynomials: (2x^3 + 3x^2) + (4x^3 - x^2)

• 6x^3 - 2x^2

• 4x^3 + 4x^2

• 6x^3 + 2x^2

• 5x^3 + 3x^2

Subtract the polynomials: (5x^4 - 2x^2 + 3) - (3x^4 + x^2 - 1)

• 2x^4 + 3x^2 + 2

• 8x^4 - x^2 + 2

• 2x^4 - 3x^2 - 4

• 2x^4 - 3x^2 + 4

Multiply the polynomials: (x + 2)(x - 3)

• x^2 + x + 6

• x^2 - x - 6

• x^2 + 5x - 6

• x^2 - 5

Multiply the polynomials: (2x^2)(3x^3)

• 9x^5

• 6x^4

• 6x^5

• 5x^6

Factor the polynomial: x^2 - 9

• (x - 3)(x + 3)

• (x - 3)(x - 3)

• (x - 9)(x + 1)

• (x - 4)(x + 4)

Factor the polynomial: 2x^2 + 8x

• x(2x + 8)

• 2(x^2 + 4x)

• 2x(x - 4)

• 2x(x + 4)

Evaluate the polynomial function: f(x) = x^2 - 4 at x = 3

• 1

• 10

• 5

• 7