Solve (3x ^ 3 + 4x ^ 2 + 5x + 18) / (x + 2) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$(3x^{3}+4x^{2}+5x+18)\div(x+2)$$

Evaluate

$3x^{2}-2x+9$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{3\left(x+2\right)\left(x^{2}-\frac{2}{3}x+3\right)}{x+2}$$

Cancel out $x+2$ in both numerator and denominator.

$$3\left(x^{2}-\frac{2}{3}x+3\right)$$

Expand the expression.

$$3x^{2}-2x+9$$

Expand

$3x^{2}-2x+9$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{3\left(x+2\right)\left(x^{2}-\frac{2}{3}x+3\right)}{x+2}$$

Cancel out $x+2$ in both numerator and denominator.

$$3\left(x^{2}-\frac{2}{3}x+3\right)$$

Expand the expression.

$$3x^{2}-2x+9$$