Learn to write the end behavior of a polynomial using limit notation

The video tutorial discusses polynomial expansion, focusing on understanding the highest power in polynomials and the process of multiplying them. It further analyzes the behavior of polynomials with odd powers and interprets their graphical representation, emphasizing the end behavior of the graph as x approaches positive and negative infinity.

What is the highest power in the polynomial expression discussed in the first section?

• 1

• Negative x

• Negative 3x squared

• 9x squared

When multiplying the terms, what is the highest power obtained?

• Negative x

• 9x squared

• Negative 9x to the seventh

• Negative 9x cubed

What is the highest power when multiplying the two polynomial terms together?

• Negative 9x cubed

• 9x squared

• Negative x

• Negative 9x to the seventh

How does the end behavior of a polynomial raised to the seventh power behave?

• Rises right, falls left

• Falls right, rises left

• Falls left, rises right

• Rises left, falls right

As x approaches negative infinity, what happens to the polynomial?

• It goes to negative infinity

• It goes to positive infinity

• It remains constant

• It oscillates