Find the equation for the polynomial function with the following information: degree 3
zero at 1 with multiplicity 1, zero at 2 with multiplicity 1, and zero at -1 with multiplicity 3.
y-intercept at 2

y = x⁵ - 4x³ - 2x² + 3x + 2

Step-by-step explanation:

There is a major disconnect in your question.

The sum of your multiplicities must equal the degree of the polynomial.

IF

we ASSUME that the multiplicity sum is correct and the polynomial degree is not 3 but 5

THEN

y = (x - 1)(x - 2)(x + 1)(x + 1)(x + 1)

y = (x - 1)(x - 2)(x + 1)(x² + 2x + 1)

y = (x - 1)(x - 2)(x³ + 3x² + 3x + 1)

y = (x - 1)(x⁴ + x³ - 3x² - 5x - 2)

y = x⁵ - 4x³ - 2x² + 3x + 2

A quick plot shows that our zeros and y intercept are correct and the curve shapes at the zeros display the correct characteristics for the multiplicities.

c

step-by-step explanation:

the answer to your question is c.)   volcanoes built the mountains and earthquakes tore them down.

step-by-step explanation: