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yanalaym [24]
2 years ago
13

Factor the following expression. 3x^3-12x^2-2x-8

Mathematics
2 answers:
PtichkaEL [24]2 years ago
8 0
<h2>Simplification of Polynomials</h2>

<u><em>Polynomials</em></u> are <u><em>mathematical expressions made up of many terms</em></u><u>.</u>

<em>To </em><u><em>simplify a polynomial</em></u><em> as much as possible, you must group all the </em><u><em>like terms</em></u><em> </em><em>and </em><u><em>rearrange them from higher to lower power</em></u><u><em>.</em></u>

<h3>3x³ - 12x² - 2x-8</h3>

<em>The </em><u><em>derivative of a polynomial</em></u><em> is the sum of the derivatives of its terms. The derivative of any constant term is 0. The derivative of </em><em>axⁿ</em><em> it's </em><em>naxⁿ⁻¹.</em>

<h3>3 × 3x³⁻¹ + 2(-12)x²⁻¹ - 2x¹⁻¹</h3>

<em>Multiply 3 x 3.</em>

<h3>9x³⁻¹ + 2(-12)x²⁻¹ - 2x¹⁻¹</h3>

<em>Subtract 1 from 3.</em>

<h3>9x² + 2(-12)x²⁻¹ - 2x¹⁻¹</h3>

<em>Multiply 2 by −12.</em>

<h3>9x² - 24x²⁻¹ - 2x¹⁻¹</h3>

<em>Subtract 1 from 2 and subtract 1 from 1.</em>

<h3>9x² - 24x¹ - 2x⁰</h3>

For any term t, t¹ = t.

<h3>9x² - 24x - 2x⁰</h3>

<em>For any term t except 0, t⁰=1.</em>

<h3>9x² - 24x - 2</h3>

Answer: The solution of the polynomial 3x³ - 12x² - 2x-8 is 9x² - 24x - 2.

<h3>See more at:</h3><h3>brainly.com/question/12968773</h3>
den301095 [7]2 years ago
6 0
(x–4) (3x^2 + 2)

i hope that helps with you’re expression
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Step-by-step explanation:

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