2x^3+5x^2+4=(x+3)q(x)+r

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Solution for 2x^3+5x^2+4=(x+3)q(x)+r equation:


Simplifying
2x3 + 5x2 + 4 = (x + 3) * q(x) + r

Reorder the terms:
4 + 5x2 + 2x3 = (x + 3) * q(x) + r

Reorder the terms:
4 + 5x2 + 2x3 = (3 + x) * q(x) + r

Reorder the terms for easier multiplication:
4 + 5x2 + 2x3 = q * x(3 + x) + r

Multiply q * x
4 + 5x2 + 2x3 = qx(3 + x) + r
4 + 5x2 + 2x3 = (3 * qx + x * qx) + r
4 + 5x2 + 2x3 = (3qx + qx2) + r

Solving
4 + 5x2 + 2x3 = 3qx + qx2 + r

Solving for variable 'x'.

Reorder the terms:
4 + -3qx + -1qx2 + -1r + 5x2 + 2x3 = 3qx + qx2 + r + -3qx + -1qx2 + -1r

Reorder the terms:
4 + -3qx + -1qx2 + -1r + 5x2 + 2x3 = 3qx + -3qx + qx2 + -1qx2 + r + -1r

Combine like terms: 3qx + -3qx = 0
4 + -3qx + -1qx2 + -1r + 5x2 + 2x3 = 0 + qx2 + -1qx2 + r + -1r
4 + -3qx + -1qx2 + -1r + 5x2 + 2x3 = qx2 + -1qx2 + r + -1r

Combine like terms: qx2 + -1qx2 = 0
4 + -3qx + -1qx2 + -1r + 5x2 + 2x3 = 0 + r + -1r
4 + -3qx + -1qx2 + -1r + 5x2 + 2x3 = r + -1r

Combine like terms: r + -1r = 0
4 + -3qx + -1qx2 + -1r + 5x2 + 2x3 = 0

The solution to this equation could not be determined.

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