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FrozenT [24]
3 years ago
10

Which of the following describes the roots of the polynomial function f(x) = (x-3)^4(x+6)^2

Mathematics
2 answers:
erma4kov [3.2K]3 years ago
5 0

write out every grouping

(x-3)(x-3)(x-3)(x-3)*(x+6)(x+6)

and multiply

4x^2+3x+63

den301095 [7]3 years ago
5 0

Answer:

3,3,3,3 ,-6, and -6.

Step-by-step explanation:

Given the polynomial function

f(x) = (x-3)^4(x+6)^2

To find the roots of given polynomial we put f(x)=0

(x-3)^4(x+6)^2=0

Then we put

(x-3)^4=0  and (x+6)^2=0

Now, we put each factor of (x-3 )equal to zero

x-3=0

x=3

x-3=0

x=3

x-3=0

x=3

x-3=0

x=3

Similarly , we put each factor of (x+6 ) equal to zero

Then we get

x+6=0

x=-6

x+6=0

x=-6

Multiplycity of 3=4

 Multiplicity of -6= 2.

Multiplicity of any number is defined as the number of repeatation of that number in polynomial function.

Therefore, the roots of given polynomial function are 3,3,3,3-6 and -6.

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A-5-B when A=9 and B=-4
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Answer:

8

Step-by-step explanation:

(Refer to picture)

Plug in the value of A and the value of B into the expression

3 0
3 years ago
In a parallelogram ABCD , the bisector of angle A bisects BC at X. Prove that AD=2 AB.
erica [24]
There's no diagram, so I made my own.
But I can't prove AD = 2*AB

7 0
3 years ago
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dangina [55]
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8 0
2 years ago
A volume of the cone is (1/3) the volume of a cylinder. The volume of the sphere is what fraction of the volume of the cylinder?
xenn [34]

Answer:

4/3

Step-by-step explanation:

To know this, let's write down the formulas for the volume of cylinder and sphere.

Vs = 4/3πr³   (1)

Vc = π r² h    (2)

Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:

Vs / Vc = 4πr³ / 3πr²h

Vs/Vc = 4πr³ / 3πr³

From here, we can cancel out the values of π and r³:

Vs/Vc = 4/3

<h2>Vs = 4/3 Vc</h2>

Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.

Hope this helps

8 0
2 years ago
2x+3y=9xy is this a linear or non-linear function pls give steps if posible​
liq [111]

Answer:

Step-by-step explanation:

To Differentiate A linear Function from a non-linear one we have Several rules.

1: check the Variables exponent degree of the function if the exponent is zero or 1 of the function that's the function is linear.

2: if it's not 0 or 1 and Greater than 1 than it's non linear function also if the exponent is of any negative value like -1 or -2 than it's also a non linear function. The Given function is a non linear function because the 9xy value has two variables multiplied if we add the exponent values together which are 1+1 = 2 hence proved it's a non linear function. One More Thing a graph of non linear function will be always other than that of a straight line.

7 0
3 years ago
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