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Popular >

factor z^3+2z^2-3z-6

Solution

factor

z^{3} + 2 z^{2} - 3 z - 6

Solution

(z + 2) (z^{2} - 3)

Solution steps

z^{3} + 2 z^{2} - 3 z - 6

= (z^{3} + 2 z^{2}) + (- 3 z - 6)

Factor out

z^{2}

from

z^{3} + 2 z^{2} : z^{2} (z + 2)

Factor out

- 3

from

- 3 z - 6 : - 3 (z + 2)

= z^{2} (z + 2) - 3 (z + 2)

Factor out common term

z + 2

= (z + 2) (z^{2} - 3)

Popular Examples

\frac{5}{6} x - \frac{1}{3} = - 2

2x+3<=-4\lor 2x+3>= 4

2 x + 3 \leq - 4 or 2 x + 3 \geq 4

((2-2x))/(3x+5)<= 0

\frac{( 2 - 2 x )}{3 x + 5} \leq 0

factor (x-4)/(x^2-16)factor

\frac{x - 4}{x ^{2} - 16}

x-1-((x-2)/2)+((x-3)/3)=0

x - 1 - (\frac{x - 2}{2}) + (\frac{x - 3}{3}) = 0

Frequently Asked Questions (FAQ)

What is factor z^3+2z^2-3z-6 ?
The solution to factor z^3+2z^2-3z-6 is (z+2)(z^2-3)