we know that
For a polynomial, if
x=a is a zero of the function, then
(x−a) is a factor of the function. The term multiplicity, refers to the number of times that its associated factor appears in the polynomial.
So
In this problem
If the cubic polynomial function has zeroes at 2, 3, and 5
then
the factors are
Part a) Can any of the roots have multiplicity?
The answer is No
If a cubic polynomial function has three different zeroes
then
the multiplicity of each factor is one
For instance, the cubic polynomial function has the zeroes
each occurring once.
Part b) How can you find a function that has these roots?
To find the cubic polynomial function multiply the factors and equate to zero
so
therefore
the answer Part b) is
the cubic polynomial function is equal to
Given:
Consider the pentagon MVEDR is dilated with the origin as the center of dilation using the rule 
to create pentagon M'V'E'D'R'.
To find:
The correct statement.
Solution:
If a figure dilated by factor k, then the rule of dilation is
Here,
If k>1, then the image is larger than the original figure.
If k<1, then the image is smaller than the original figure.
We have,
Here, M'V'E'D'R' is image and MVEDR is original figure. The scale factor is
Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is less than 1.
Therefore, the correct option is B.
Answer:
The slope of a horizontal line is 0
Step-by-step explanation:
Its 0
Answer:
30/100×150=
24/5%, that is the answer
I suppose the integral could be
In that case, since 
as 
, we know 
. We also have 
, so the integral is approach +1 from below. This tells us that, by comparison,
and the latter integral is convergent, so this integral must converge.
To find its value, let 
, so that 
. Then the integral is equal to
![\displaystyle\int_{-1/7}^0e^u\,\mathrm du=e^0-e^{-1/7}=1-\frac1{\sqrt[7]{e}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_%7B-1%2F7%7D%5E0e%5Eu%5C%2C%5Cmathrm%20du%3De%5E0-e%5E%7B-1%2F7%7D%3D1-%5Cfrac1%7B%5Csqrt%5B7%5D%7Be%7D%7D)
