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2 years ago

Simplify the expression. Write your answer as a complex number.

Mathematics

1 answer:

Amanda [17]2 years ago

5 0

Answer:

Step-by-step explanation:

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Using the Factor Theorem, which of the polynomial functions has the zeros 2, radical 3 , and negative radical 3 ? f (x) = x3 – 2

butalik [34]

To solve this question, we use the factor theorem, and using it, the polynomial function is:

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

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The factor theorem means that if k is a root of f(x), f(k) = 0.

Thus, applying the factor theorem for this question, we have to choose the function for which: $f(2) = 0, f(\sqrt{3}) = 0, f(-\sqrt{3}) = 0$

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Function 1:

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

Testing the values:

$f(2) = 2^3 - 2(2)^2 - 3(2) + 6 = 8 - 8 - 6 + 6 = 0$

$f(\sqrt{3}) = \sqrt{3^3} - 2(\sqrt{3})^2 - 3\sqrt{3} + 6 = \sqrt{3^2\times3} - 6 - 3\sqrt{3} + 6 = 3\sqrt{3} - 3\sqrt{3} = 0$

$f(-\sqrt{3}) = -\sqrt{3^3} - 2(-\sqrt{3})^2 - 3(-\sqrt{3}) + 6 = -\sqrt{3^2\times3} - 6 + 3\sqrt{3} + 6 = -3\sqrt{3} + 3\sqrt{3} = 0$

Thus, since all three conditions are satisfied, $f(x) = x^3 - 2x^2 - 3x + 6$ is the polynomial function.

A similar question is given at brainly.com/question/11378552

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2 years ago

Please help with these, will give brainliest of all correct

insens350 [35]

Y=44x+290
y=-28x+290
those are the first two

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3 years ago

Express as a sum: 15–7

kirill115 [55]

-7+15. this is what i think it is.

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2 years ago

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What is the factor for 30n-40

nikitadnepr [17]

Factor:
<span>30n - 40 = 10(3n - 4)

hope it helps</span>

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2 years ago

Find x and y in the figure

xxTIMURxx [149]

Answer:

therefore angle Y will be equal to angle X by vertically opposite angle as by taking all the angles inside the traingle will be equal to Y so Y = X = 60°

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2 years ago