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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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x=− 7 over 2 =−3.500

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What is the solution to the equation 3 square root 5x-4 = 3 square root7x+8?
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2 years ago
What is the dilation/scale factor?​
Trava [24]

Answer:

Scale Factor (Dilation) The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs.

Step-by-step explanation:

8 0
2 years ago
4. Evaluate -8÷2+12×9-4x6\<br>56÷7x2​
olchik [2.2K]

Answer:

98

Step-by-step explanation:

In Questions that involve multiple mathematical operations, we use the BODMAS or PEMDAS.

BODMAS is an acronym and it represents; Bracket, Order, Division, Multiplication, Addition, and Subtraction.

PEMDAS is also an acronym that means the same thing with BODMAS, it represents; Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction

We solve using the order present in BODMAS

-8 ÷ 2 + 12 × 9 - 4 x 6 \  56 ÷ 7 x 2​

Solving all Multiplication, we have;

-8 ÷ 2 + 12 × 9 - 4 x 6 \  56 ÷ 7 x 2​

-8 ÷ 2 + 108 - 24 \  56 ÷ 14

Solving all Division, we have;

-8 ÷ 2 + 108 - 24 \  56 ÷ 14

-4 + 108 - 24 \  4

-4 + 108 - 6

Solving all Addition, we have;

-4 + 108 - 6

104 - 6 = 98

4 0
2 years ago
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