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Tasya [4]
3 years ago
10

I need help on this question

Mathematics
1 answer:
PtichkaEL [24]3 years ago
6 0

Answer:Comment a text type it out letter by letter.

Step-by-step explanation:

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16.The least common denominator of 1/2, 1/8, and 1/10 isO A. 10.OB. 80.C. 40.D. 16.nMark for review Awill be biabliabted on the
tangare [24]

Given

The numbers, 1/2, 1/8, and 1/10.

To find: The least common denominator.

Explanation:

It is given that,

1/2, 1/8, and 1/10 .

Then,

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If f(x) = 2x^3 - 14x^2 + 38x -26 and x-1 is a factor of f(x) find all of the zeros of f(x) algebraically.
Anestetic [448]

Answer:

Step-by-step explanation:

First confirm that x = 1 is one of the zeros.

f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26

f(1) = 2 - 14 + 38 - 26

f(1) = -12 + 38 = + 26

f(1) = 26 - 26

f(1) = 0

=========================

next perform a long division

x -1  || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26

          2x^3 - 2x^2

          ===========

                    -12x^2 + 28x

                     -12x^2 +12x

                     ==========

                                  26x -26

                                  26x - 26

                                 ========

                                      0

Now you can factor 2x^2 - 12x + 26

                                 2(x^2 - 6x + 13)

The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16

So you are going to get a complex result.

x = -(-6) +/- sqrt(-16)

     =============

                 2

x  = 3 +/- 2i

f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)

The zeros are

1

3 +/- 2i

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