Interpreting the multiplicity of a zero: determine the multiplicity of the roots of the function

For this case we have the following expression:

The roots are:

For example: For x = 0 we have

so it is shown that is a root.

By definition, multiplicity represents the number of times a root is repeated in a polynomial, in turn it is given by the degree of the term that contains the root.

Thus:

The multiplicity of 0 is 1

The multiplicity of -2 is 3

The multiplicity of -4 is 2

The multiplicity of 5 is 4

The multiplicity of 0 is 1

The multiplicity of -2 is 3

The multiplicity of -4 is 2

The multiplicity of 5 is 4

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold