Finite Math Examples

$m (x) = - 7 + 5 x - 3 x^{2} - 0.5 x^{3}$

Step 1

Reorder the polynomial $- 7 + 5 x - 3 x^{2} - 0.5 x^{3}$ .

Tap for more steps...

Step 1.1

Reorder the polynomial.

$m (x) = - 0.5 x^{3} - 3 x^{2} + 5 x - 7$

Step 1.2

Apply the distributive property.

$m (x) = - 0.5 x^{3} \cdot - 1 - 3 x^{2} \cdot - 1 + 5 x \cdot - 1 - 7 \cdot - 1$

Step 1.3

Simplify.

Tap for more steps...

Step 1.3.1

Multiply $- 1$ by $- 0.5$ .

$m (x) = 0.5 x^{3} - 3 x^{2} \cdot - 1 + 5 x \cdot - 1 - 7 \cdot - 1$

Step 1.3.2

Multiply $- 1$ by $- 3$ .

$m (x) = 0.5 x^{3} + 3 x^{2} + 5 x \cdot - 1 - 7 \cdot - 1$

Step 1.3.3

Multiply $- 1$ by $5$ .

$m (x) = 0.5 x^{3} + 3 x^{2} - 5 x - 7 \cdot - 1$

Step 1.3.4

Multiply $- 7$ by $- 1$ .

$m (x) = 0.5 x^{3} + 3 x^{2} - 5 x + 7$

Step 2

The Rational Roots Test requires the polynomial to have integer coefficients. Since $- 0.5 x^{3} - 3 x^{2} + 5 x - 7$ does not, the Rational Roots Test cannot be used.

No solution

Step 3

The bounds of the expression $- 0.5 x^{3} - 3 x^{2} + 5 x - 7$ cannot be found.

$m (x) = T h e$ bounds of this expression cannot be found.