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Maksim231197 [3]
3 years ago
5

48 is a common factor of 4 and 6. True or false?

Mathematics
2 answers:
attashe74 [19]3 years ago
4 0

Answer: False.

Step-by-step explanation:

48 is not a common factor of 4 and 6

4 and 6 only share 2 factor: 1 and 2

Factors in 4: 1, 2, 4

Factors in 6: 1, 2, 3, 6

katrin2010 [14]3 years ago
3 0

Answer:

False

Step-by-step explanation:

Common factors of 4 and 6 include:

1 and 2

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I can’t figure out how to use the zeros in the polynomial. Please explain
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Answer:

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c) P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2

Step-by-step explanation:

<u>For the question a *</u> you need to find a polynomial of degree 3 with zeros in -3, 1 and 4.

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Then write the polynomial in factored form.

P (x) = (x + 3) (x-1) (x-4)

Note that this polynomial has degree 3 and is zero at x = -3, x = 1 and x = 4.

<u>For question b, do the same procedure</u>.

Degree: 3

Zeros: -5/2, 4/5, 6.

The factors are

x = -\frac{5}{2}\\\\x +\frac{5}{2} = 0\\\\(2x +5) = 0

---------------------------------------

x =\frac{4}{5}\\\\x-\frac{4}{5} = 0\\\\(5x-4) = 0

--------------------------------------

x = 6\\\\(x-6) = 0

--------------------------------------

P (x) = (2x + 5) (5x - 4) (x-6)

<u>Finally for the question c we have</u>

Degree: 5

Zeros: -3, 1, 4, -1

Multiplicity 2 in -1

x = -3\\\\(x-3) = 0

--------------------------------------

x = 1\\\\(x-1) = 0

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x = 4\\\\(x-4) = 0

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x = -1\\\\(x + 1) = 0

-----------------------------------------

P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2

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adoni [48]
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x = -14

3. -9 + x/3 = -23
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-6x - 18 = -36
-6x - 18 + 18 = -36 + 18
-6x = -18
-6x/-6 = -18/-6
x = 3

6. k + 3.7/9.8 = -0.22
k + 3.7/9.8/9.8 = -0.22/9.8
k + 3.7 = -2.156
k + 3.7 - 3.7 = -2.156 - 3.7
k = -5.856

7. 12(x - 6) = -108
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12x - 72 + 72 = -108 + 72
12x = -36
12x/12 = -36/12
x = -3

8. -21.83x - -19.9 = -23.83
-21.83x + 19.9 = -23.83
-21.83x + 19.9 - 19.9 = -23.83 - 19.9
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9. -10x - 68 + x = 40
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-34 - 5x = 71
-34 + 34 - 5x = 71 + 34
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-5x/-5 = 105/-5
x = -21

11. 3x - 77 - 8x = 23
-5x - 77 = 23
-5x - 77 + 77 = 23 + 77
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12. 3x - 5(2x - 12) = 123
3x - 10x + 60 = 123
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-7x + 60 - 60 = 123 - 60
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13. -3x + 6(x + 6) = 15
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13x - 18 = -174
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27x + 18 - 18 = -171 - 18
27x = -189
27x/27 = -189/27
x = -7










5 0
3 years ago
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