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
Yes it is correct.........
Answer:
almost
Step-by-step explanation:
-4 <= x < 0
at least includes the number, less than does not include the number.
Answer:
vertical asymptote at x=-1
horizontal asymptote at y=0
Step-by-step explanation:
To find vertical asymptote we set the denominator =0 and solve for x
x+1=0 (subtract 1 from both sides)
x=-1
So, vertical asymptote at x=-1
To find horizontal asymptote we look at the degree of both numerator and denominator
there is no variable at the numerator , so degree of numerator =0
degree of denominator =1
When the degree of numerator is less than the degree of denominator
then horizontal asymptote at y=0