Question

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

Answer 1

Simplification of Polynomials

Polynomials are mathematical expressions made up of many terms.

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

3x³ - 12x² - 2x-8

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

3 × 3x³⁻¹ + 2(-12)x²⁻¹ - 2x¹⁻¹

Multiply 3 x 3.

9x³⁻¹ + 2(-12)x²⁻¹ - 2x¹⁻¹

Subtract 1 from 3.

9x² + 2(-12)x²⁻¹ - 2x¹⁻¹

Multiply 2 by −12.

9x² - 24x²⁻¹ - 2x¹⁻¹

Subtract 1 from 2 and subtract 1 from 1.

9x² - 24x¹ - 2x⁰

For any term t, t¹ = t.

9x² - 24x - 2x⁰

For any term t except 0, t⁰=1.

9x² - 24x - 2

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

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Answer 2

(x–4) (3x^2 + 2)

i hope that helps with you’re expression