Precalculus Examples

$f (x) = x^{4} + 4 x^{3} - 13 x^{3} + 32 x - 168$

Step 1

Set $x^{4} + 4 x^{3} - 13 x^{3} + 32 x - 168$ equal to $0$ .

$x^{4} + 4 x^{3} - 13 x^{3} + 32 x - 168 = 0$

Step 2

Solve for $x$ .

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Step 2.1

Subtract $13 x^{3}$ from $4 x^{3}$ .

$x^{4} - 9 x^{3} + 32 x - 168 = 0$

Step 2.2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx - 2.79462728, 8.83363754$

Step 3