Solve -2.25/42.1875left(x^4+x^3-17x^2-21x+36right)

$$\frac{ -2.25 }{ 42.1875 } \left( { x }^{ 4 } + { x }^{ 3 } -17 { x }^{ 2 } -21x+36 \right)$$

Evaluate

$$-\frac{4\left(x-4\right)\left(x-1\right)\left(x+3\right)^{2}}{75}$$

Solution Steps

Expand \frac{-2.25}{42.1875} by multiplying both numerator and the denominator by 10000.

$$\frac{-22500}{421875}\left(x^{4}+x^{3}-17x^{2}-21x+36\right)$$

Reduce the fraction \frac{-22500}{421875} to lowest terms by extracting and canceling out 5625.

$$-\frac{4}{75}\left(x^{4}+x^{3}-17x^{2}-21x+36\right)$$

Use the distributive property to multiply -\frac{4}{75} by x^{4}+x^{3}-17x^{2}-21x+36.

$$-\frac{4}{75}x^{4}-\frac{4}{75}x^{3}+\frac{68}{75}x^{2}+\frac{28}{25}x-\frac{48}{25}$$

Expand

$$-\frac{4x^{4}}{75}-\frac{4x^{3}}{75}+\frac{68x^{2}}{75}+\frac{28x}{25}-1.92$$

Solution Steps

Expand \frac{-2.25}{42.1875} by multiplying both numerator and the denominator by 10000.

$$\frac{-22500}{421875}\left(x^{4}+x^{3}-17x^{2}-21x+36\right)$$

Reduce the fraction \frac{-22500}{421875} to lowest terms by extracting and canceling out 5625.

$$-\frac{4}{75}\left(x^{4}+x^{3}-17x^{2}-21x+36\right)$$

Use the distributive property to multiply -\frac{4}{75} by x^{4}+x^{3}-17x^{2}-21x+36.

$$-\frac{4}{75}x^{4}-\frac{4}{75}x^{3}+\frac{68}{75}x^{2}+\frac{28}{25}x-\frac{48}{25}$$