Operations with Polynomial Functions

Kendall Roberg explains how to perform operations on two functions, f(x) = -x + 4 and g(x) = 2x + x^2. The video covers addition, subtraction, multiplication, and division of these functions. Each operation is demonstrated step-by-step, including combining like terms and using the FOIL method for multiplication. The division is shown as a fraction since it cannot be simplified further. The tutorial provides a clear understanding of how to handle basic operations with functions.

What is the expression for f(x) as defined in the video?

• -x + 4

• 2x + x^2

• x^2 - 4

• x + 2

What is the expression for g(x) as defined in the video?

• x + 2

• x^2 - 4

• 2x + x^2

• -x + 4

What is the result of adding f(x) and g(x)?

• x^2 + x + 4

• x^2 - x + 4

• 2x^2 + 4

• x^2 + 2x + 4

When adding f(x) and g(x), what is the coefficient of x in the result?

• 4

• 2

• 3

• 1

What is the constant term in the result of f(x) + g(x)?

• 2

• 0

• 4

• 1

What is the result of subtracting g(x) from f(x)?

• -x^2 - x + 4

• x^2 - 3x + 4

• -x^2 + 3x + 4

• -x^2 - 3x + 4

In the subtraction of f(x) and g(x), what is the coefficient of x?

• -2

• 3

• -3

• 1

What is the constant term in the result of f(x) - g(x)?

• 4

• 0

• 2

• 1

What is the result of multiplying f(x) and g(x)?

• -x^3 + 2x^2 + 8x

• x^3 - 2x^2 + 8x

• -x^3 + x^2 + 8x

• x^3 + 2x^2 - 8x

Which method is used to multiply the two functions f(x) and g(x)?

• Integration

• Distributive

• FOIL

• Substitution