Consider the leading term of the polynomial

Question

Classify 3x⁵ - 8x³ - 2x² + 5 by number of terms.

• trinomial
• polynomial of 4 terms
• binomial
• polynomial of 5 terms

Consider the leading term of the polynomial function. What is the end behavior of the graph?

4x⁵ + 1x

• Sincenis odd andais positive, the end behavior is up and down.
• Sincenis odd andais positive, the end behavior is down and up.
• Sincenis odd andais positive, the end behavior is down and down.
• Sincenis odd andais positive, the end behavior is up and up.

Which points are the best approximations of the relative maximum and minimum of the function?

= x³ + 6x² - 36x

• The relative maximum is about (-6, 216) and the relative minimum is about (2, -40).
• The relative maximum is about (-6, 40) and the relative minimum is about (2, -216).
• The relative maximum is about (6, 216) and the relative minimum is about (-2, -40).
• The relative maximum is about (6, 40) and the relative minimum is about (-2, -216).

Write the polynomial in factored form.

x³ - 3x² - 10x

Use the Remainder Theorem to find the remainder when P(x) = x⁴ - 9x³ - 5x² - 3x + 4 is divided by x + 3.

Suppose the polynomial function below represents the power generated by a wind turbine, where x represents the wind speed in meters per second and y represents the kilowatts generated. Interpret ƒ(10).