What is factor 3x^3-5x^2-27x+45 ?

The solution to factor 3x^3-5x^2-27x+45 is (3x-5)(x+3)(x-3)

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factor 3x^3-5x^2-27x+45

factor

3 x^{3} - 5 x^{2} - 27 x + 45

(3 x - 5) (x + 3) (x - 3)

Solution steps

3 x^{3} - 5 x^{2} - 27 x + 45

= (3 x^{3} - 5 x^{2}) + (- 27 x + 45)

Factor out

x^{2}

from

3 x^{3} - 5 x^{2} : x^{2} (3 x - 5)

Factor out

- 9

from

- 27 x + 45 : - 9 (3 x - 5)

= x^{2} (3 x - 5) - 9 (3 x - 5)

Factor out common term

3 x - 5

= (3 x - 5) (x^{2} - 9)

Factor

x^{2} - 9 : (x + 3) (x - 3)

= (3 x - 5) (x + 3) (x - 3)

lo g_{25} (25)

a^{2} m^{4} n^{6} - 144

\frac{1}{9} \div 3

\frac{2}{x - 4} \cdot \frac{x - 12}{x - 5}

3 (- 14 x^{3} y^{5})

What is factor 3x^3-5x^2-27x+45 ?
The solution to factor 3x^3-5x^2-27x+45 is (3x-5)(x+3)(x-3)