Consider p(x) = x4(x − 2)3(x + 1)2. what are the zeros of the function? what is the multiplicity of each zero?

A) 0, multiplicity of 4; 2, multiplicity of 3; −1, multiplicity of 2

Step-by-step explanation:

To find the zeros:

Set each factor equal to zero and solve for x. The zeros are 0, 2, and −1.

The exponent for each factor tells the multiplicity of the zero.

, 0 has a multiplicity of 4

, 2 has a multiplicity of 3

, −1 has a multiplicity of 2

x + 107

step-by-step explanation:

let's say that the number he had before the mistake was x. then, he will have 107 dollars more than this, so the answer is x + 107.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."