Question

Polynomial Help

Answer 1

1. Classify –6x5 + 4x3 + 3x2 + 11 by degree.

2. Write -2x^2(-5x^2+4x^3) in standard form.
-10x^4 + 8x^5
= 8x^5 - 10x^4

3. Consider the leading term of the polynomial function. What is the end behavior of the graph?
2x^7 – 8x^6 – 3x^5 – 3

The leading term is 2x^7. Since n is odd and a is positive, the end behavior is up and up.

The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and down.

The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and up.

The leading term is 2x^7. Since n is odd and a is positive, the end behavior is up and down.

4. Graph y = 2x – x^3. How many turning points are there?

5. A perfume is packed in a bottle shaped link the one below . The polynomial expression that represents the volume of the bottle is 4/3pier^2h. interpret the variable h of the polynomial expression in the context of the scenario.

Answer 2

\[\large\rm –6x^{\color{orangered}{5}} + 4x^3 + 3x^2 + 11\]1. The largest power of x tells us the degree of the polynomial.