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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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Two supplementary angles always adds up to 180 degrees. If an angle is 67.2 degrees less than the measure of a supplementary angle, an equation can be formed where "A" represents the larger angle, and (A - 67.2) represents the smaller angle.

(A - 67.2)+A=180

(Combine the A's)

2A - 67.2=180

(Add 67.2 to both sides)

2A = 247.2

(Divide by 2 to both sides)

A = 123.6

123.6 degrees is the larger angle.

The smaller angle is represented by (A - 67.2). We now know the value of A so lets plug it in. (123.6 - 67.2) = 56.4. 56.4 is the value of the smaller angle.

We can double check to make sure we got the right answer.

123.6 + 56.4 = 180
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Step-by-step explanation:

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Hope this helps. - M
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Hello. I need help on this question. Please answer if you know. Provide the answer with working. Thanks.
11Alexandr11 [23.1K]

Answer:

a) - 11x - 94y / 12    b)  x -4 / 5- 3x   c) 12x - 11 /10y

Step-by-step explanation:

a)  2x - 6y / 4    -  4y - x/ 12    -   4x - 20y /3

6x - 18y / 12 -     4y - x / 12              -  16x - 80y / 12

= 5x - 14y / 12     - 16x - 80y / 12

- 11x - 94y / 12

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c) 2x -3/ 5y  -    5- 2x / 10y + x/y

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2x - 11 / 10  + 10x / 10y

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