(3X^4+11X^3-7X-2) DIVIDE BY (3X+2)

asked by guest
on Oct 22, 2024 at 8:30 pm



You asked:

Evaluate the expression: \(\frac{3 \cdot {X}^{4} + 11 \cdot {X}^{3} - 7 X - 2}{3 X + 2}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{3 \cdot {X}^{4} + 11 \cdot {X}^{3} - 7 X - 2}{3 X + 2} = \frac{3 X^{4} + 11 X^{3} - 7 X - 2}{3 X + 2} \)

Expanded

\[\frac{3 \cdot {X}^{4} + 11 \cdot {X}^{3} - 7 X - 2}{3 X + 2} = \frac{3 X^{4}}{3 X + 2} + \frac{11 X^{3}}{3 X + 2} - \frac{7 X}{3 X + 2} - \frac{2}{3 X + 2}\]

Factored

\[\frac{3 \cdot {X}^{4} + 11 \cdot {X}^{3} - 7 X - 2}{3 X + 2} = X^{3} + 3 X^{2} - 2 X - 1\]

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