3x^4-4x^3-8x^2+16x-2=(Ax^2+Bx+C)(x^2-3)+Dx+E

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Solution for 3x^4-4x^3-8x^2+16x-2=(Ax^2+Bx+C)(x^2-3)+Dx+E equation:

Simplifying
3x⁴ + -4x³ + -8x² + 16x + -2 = (Ax² + Bx + C)(x² + -3) + Dx + E

Reorder the terms:
-2 + 16x + -8x² + -4x³ + 3x⁴ = (Ax² + Bx + C)(x² + -3) + Dx + E

Reorder the terms:
-2 + 16x + -8x² + -4x³ + 3x⁴ = (C + xB + x²A)(x² + -3) + Dx + E

Reorder the terms:
-2 + 16x + -8x² + -4x³ + 3x⁴ = (C + xB + x²A)(-3 + x²) + Dx + E

Multiply (C + xB + x²A) * (-3 + x²)
-2 + 16x + -8x² + -4x³ + 3x⁴ = (C(-3 + x²) + xB(-3 + x²) + x²A(-3 + x²)) + Dx + E
-2 + 16x + -8x² + -4x³ + 3x⁴ = ((-3 * C + x² * C) + xB(-3 + x²) + x²A(-3 + x²)) + Dx + E
-2 + 16x + -8x² + -4x³ + 3x⁴ = ((-3C + x²C) + xB(-3 + x²) + x²A(-3 + x²)) + Dx + E
-2 + 16x + -8x² + -4x³ + 3x⁴ = (-3C + x²C + (-3 * xB + x² * xB) + x²A(-3 + x²)) + Dx + E
-2 + 16x + -8x² + -4x³ + 3x⁴ = (-3C + x²C + (-3xB + x³B) + x²A(-3 + x²)) + Dx + E
-2 + 16x + -8x² + -4x³ + 3x⁴ = (-3C + x²C + -3xB + x³B + (-3 * x²A + x² * x²A)) + Dx + E
-2 + 16x + -8x² + -4x³ + 3x⁴ = (-3C + x²C + -3xB + x³B + (-3x²A + x⁴A)) + Dx + E

Reorder the terms:
-2 + 16x + -8x² + -4x³ + 3x⁴ = (-3C + -3xB + -3x²A + x²C + x³B + x⁴A) + Dx + E
-2 + 16x + -8x² + -4x³ + 3x⁴ = (-3C + -3xB + -3x²A + x²C + x³B + x⁴A) + Dx + E

Reorder the terms:
-2 + 16x + -8x² + -4x³ + 3x⁴ = -3C + E + -3xB + xD + -3x²A + x²C + x³B + x⁴A

Solving
-2 + 16x + -8x² + -4x³ + 3x⁴ = -3C + E + -3xB + xD + -3x²A + x²C + x³B + x⁴A

Solving for variable 'x'.

Reorder the terms:
-2 + 3C + -1E + 16x + 3xB + -1xD + -8x² + 3x²A + -1x²C + -4x³ + -1x³B + 3x⁴ + -1x⁴A = -3C + E + -3xB + xD + -3x²A + x²C + x³B + x⁴A + 3C + -1E + 3xB + -1xD + 3x²A + -1x²C + -1x³B + -1x⁴A

Reorder the terms:
-2 + 3C + -1E + 16x + 3xB + -1xD + -8x² + 3x²A + -1x²C + -4x³ + -1x³B + 3x⁴ + -1x⁴A = -3C + 3C + E + -1E + -3xB + 3xB + xD + -1xD + -3x²A + 3x²A + x²C + -1x²C + x³B + -1x³B + x⁴A + -1x⁴A

Combine like terms: -3C + 3C = 0
-2 + 3C + -1E + 16x + 3xB + -1xD + -8x² + 3x²A + -1x²C + -4x³ + -1x³B + 3x⁴ + -1x⁴A = 0 + E + -1E + -3xB + 3xB + xD + -1xD + -3x²A + 3x²A + x²C + -1x²C + x³B + -1x³B + x⁴A + -1x⁴A
-2 + 3C + -1E + 16x + 3xB + -1xD + -8x² + 3x²A + -1x²C + -4x³ + -1x³B + 3x⁴ + -1x⁴A = E + -1E + -3xB + 3xB + xD + -1xD + -3x²A + 3x²A + x²C + -1x²C + x³B + -1x³B + x⁴A + -1x⁴A

Combine like terms: E + -1E = 0
-2 + 3C + -1E + 16x + 3xB + -1xD + -8x² + 3x²A + -1x²C + -4x³ + -1x³B + 3x⁴ + -1x⁴A = 0 + -3xB + 3xB + xD + -1xD + -3x²A + 3x²A + x²C + -1x²C + x³B + -1x³B + x⁴A + -1x⁴A
-2 + 3C + -1E + 16x + 3xB + -1xD + -8x² + 3x²A + -1x²C + -4x³ + -1x³B + 3x⁴ + -1x⁴A = -3xB + 3xB + xD + -1xD + -3x²A + 3x²A + x²C + -1x²C + x³B + -1x³B + x⁴A + -1x⁴A

Combine like terms: -3xB + 3xB = 0
-2 + 3C + -1E + 16x + 3xB + -1xD + -8x² + 3x²A + -1x²C + -4x³ + -1x³B + 3x⁴ + -1x⁴A = 0 + xD + -1xD + -3x²A + 3x²A + x²C + -1x²C + x³B + -1x³B + x⁴A + -1x⁴A
-2 + 3C + -1E + 16x + 3xB + -1xD + -8x² + 3x²A + -1x²C + -4x³ + -1x³B + 3x⁴ + -1x⁴A = xD + -1xD + -3x²A + 3x²A + x²C + -1x²C + x³B + -1x³B + x⁴A + -1x⁴A

Combine like terms: xD + -1xD = 0
-2 + 3C + -1E + 16x + 3xB + -1xD + -8x² + 3x²A + -1x²C + -4x³ + -1x³B + 3x⁴ + -1x⁴A = 0 + -3x²A + 3x²A + x²C + -1x²C + x³B + -1x³B + x⁴A + -1x⁴A
-2 + 3C + -1E + 16x + 3xB + -1xD + -8x² + 3x²A + -1x²C + -4x³ + -1x³B + 3x⁴ + -1x⁴A = -3x²A + 3x²A + x²C + -1x²C + x³B + -1x³B + x⁴A + -1x⁴A

Combine like terms: -3x²A + 3x²A = 0
-2 + 3C + -1E + 16x + 3xB + -1xD + -8x² + 3x²A + -1x²C + -4x³ + -1x³B + 3x⁴ + -1x⁴A = 0 + x²C + -1x²C + x³B + -1x³B + x⁴A + -1x⁴A
-2 + 3C + -1E + 16x + 3xB + -1xD + -8x² + 3x²A + -1x²C + -4x³ + -1x³B + 3x⁴ + -1x⁴A = x²C + -1x²C + x³B + -1x³B + x⁴A + -1x⁴A

Combine like terms: x²C + -1x²C = 0
-2 + 3C + -1E + 16x + 3xB + -1xD + -8x² + 3x²A + -1x²C + -4x³ + -1x³B + 3x⁴ + -1x⁴A = 0 + x³B + -1x³B + x⁴A + -1x⁴A
-2 + 3C + -1E + 16x + 3xB + -1xD + -8x² + 3x²A + -1x²C + -4x³ + -1x³B + 3x⁴ + -1x⁴A = x³B + -1x³B + x⁴A + -1x⁴A

Combine like terms: x³B + -1x³B = 0
-2 + 3C + -1E + 16x + 3xB + -1xD + -8x² + 3x²A + -1x²C + -4x³ + -1x³B + 3x⁴ + -1x⁴A = 0 + x⁴A + -1x⁴A
-2 + 3C + -1E + 16x + 3xB + -1xD + -8x² + 3x²A + -1x²C + -4x³ + -1x³B + 3x⁴ + -1x⁴A = x⁴A + -1x⁴A

Combine like terms: x⁴A + -1x⁴A = 0
-2 + 3C + -1E + 16x + 3xB + -1xD + -8x² + 3x²A + -1x²C + -4x³ + -1x³B + 3x⁴ + -1x⁴A = 0

The solution to this equation could not be determined.

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3x^4-4x^3-8x^2+16x-2=(Ax^2+Bx+C)(x^2-3)+Dx+E

Simple and best practice solution for 3x^4-4x^3-8x^2+16x-2=(Ax^2+Bx+C)(x^2-3)+Dx+E equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solution for 3x^4-4x^3-8x^2+16x-2=(Ax^2+Bx+C)(x^2-3)+Dx+E equation:

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