Answer:
the correct anwser is -3 and if you need anymore help the website i use is
Step-by-step explanation:
https://www.tiger-algebra.com
Multiplicity
is how many times the root repeats
roots
r1 and r2 of a polynomial factor to
(x-r1)(x-r2)
so 3
multiplicty 2 means (x-3)^2 is in the factorization of that
polynomial
also,
for a polynomial with real coefients, if a+bi is a roots, a-bi is
also a root
5i is
a root, therefor -5i is a root as well
roots
are
(x-5i)(x+5i)(x-3)^2
if we
expand
x^4-6x^3+34x^2-150x+225
the
polynomial is
f(x)=x^4-6x^3+34x^2-150x+225
Answer
The vertex is at point (-3, -1)
The axis of symmetry is x = -3
Explanation
We are asked to find the vertex and axis of symmetry of the equation given.
f(x) = x² + 6x + 8
The vertex of a quadratic equation is the point where the graph of the quadratic equation changes from sloping negatively to sloping positively and vice-versa.
The axis of symmetry represents the straight line that divides the graph of the quadratic equation into two mirror parts that are similar to and are mirror images of each other. This axis of symmetry usually passes through the vertex.
To find the vertex, it is usually at the turning point where the first derivative of the quadratic equation is equal to 0.
(df/dx) = 0
f(x) = x² + 6x + 8
(df/dx) = 2x + 6
At the vertex
(df/dx) = 2x + 6 = 0
2x = -6
Divide both sides by 2
(2x/2) = (-6/2)
x = -3
We then insert this into the equation to get the corresponding f(x) value.
f(x) = x² + 6x + 8
f(-3) = (-3)² + 6(-3) + 8
= 9 - 18 + 8
= -1
Hence, the vertex is at point (-3, -1)
And since the axis of symmetry has to pass through the vertex,
The axis of symmetry is x = -3
Hope this Helps!!!
Then mark it down by less then 1%, of by whatever the number would be.
Well first off you multiply the parenthesis 1/4(x-12) you get -1=1/4x-3 then you subtract the one so now the y can be by itself the you get Y=1/4x-2
