Find end behavior of a factored polynomial using limits

The video tutorial covers the expansion of binomials, focusing on the importance of using parentheses with negative exponents. It explains how to multiply binomials and determine the highest power. The tutorial also discusses graph behavior, particularly how functions behave as x approaches infinity or negative infinity, using limit notation. Finally, it highlights common mistakes made during these processes.

What is the first term when expanding (negative x + 3) to the fourth power?

• negative x to the fourth power

• negative 3 to the fourth power

• 3 to the fourth power

• x to the fourth power

When multiplying two binomials, what is the highest power of x in the resulting expression?

• x to the seventh

• x to the eighth

• x to the fifth

• x to the sixth

Why does a negative term raised to an even power become positive?

• Because negative numbers are ignored in multiplication

• Because even powers always result in positive numbers

• Because the negative sign is canceled out

• Because the power is greater than two

What is the end behavior of a function with a negative even power?

• Rises to the right, falls to the left

• Falls to the right, rises to the left

• Rises to the right, rises to the left

• Falls to the right, falls to the left

As x approaches infinity, what happens to the function with a negative even power?

• It approaches negative infinity

• It remains constant

• It approaches zero

• It approaches positive infinity