Whakaoti i te y=-x(x-2)(x-3)(x-9)(x+6)

$$y = - x ( x - 2 ) ( x - 3 ) ( x - 9 ) ( x + 6 )$$

Whakaoti mō y

$$y=-x\left(x-9\right)\left(x-3\right)\left(x-2\right)\left(x+6\right)$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te -x ki te x-2.

$$y=\left(\left(-x\right)x-2\left(-x\right)\right)\left(x-3\right)\left(x-9\right)\left(x+6\right)$$

Whakareatia te -2 ki te -1, ka 2.

$$y=\left(\left(-x\right)x+2x\right)\left(x-3\right)\left(x-9\right)\left(x+6\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te \left(-x\right)x+2x ki te x-3.

$$y=\left(\left(-x\right)x^{2}-3\left(-x\right)x+2x^{2}-6x\right)\left(x-9\right)\left(x+6\right)$$

Whakareatia te -3 ki te -1, ka 3.

$$y=\left(\left(-x\right)x^{2}+3xx+2x^{2}-6x\right)\left(x-9\right)\left(x+6\right)$$

Whakareatia te x ki te x, ka x^{2}.

$$y=\left(\left(-x\right)x^{2}+3x^{2}+2x^{2}-6x\right)\left(x-9\right)\left(x+6\right)$$

Pahekotia te 3x^{2} me 2x^{2}, ka 5x^{2}.

$$y=\left(\left(-x\right)x^{2}+5x^{2}-6x\right)\left(x-9\right)\left(x+6\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te \left(-x\right)x^{2}+5x^{2}-6x ki te x-9 ka whakakotahi i ngā kupu rite.

$$y=\left(\left(-x\right)x^{3}-9\left(-x\right)x^{2}+5x^{3}-51x^{2}+54x\right)\left(x+6\right)$$

Whakareatia te -9 ki te -1, ka 9.

$$y=\left(\left(-x\right)x^{3}+9xx^{2}+5x^{3}-51x^{2}+54x\right)\left(x+6\right)$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 2 kia riro ai te 3.

$$y=\left(\left(-x\right)x^{3}+9x^{3}+5x^{3}-51x^{2}+54x\right)\left(x+6\right)$$

Pahekotia te 9x^{3} me 5x^{3}, ka 14x^{3}.

$$y=\left(\left(-x\right)x^{3}+14x^{3}-51x^{2}+54x\right)\left(x+6\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te \left(-x\right)x^{3}+14x^{3}-51x^{2}+54x ki te x+6 ka whakakotahi i ngā kupu rite.

$$y=\left(-x\right)x^{4}+6\left(-x\right)x^{3}+14x^{4}+33x^{3}-252x^{2}+324x$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 4 kia riro ai te 5.

$$y=-x^{5}+6\left(-1\right)xx^{3}+14x^{4}+33x^{3}-252x^{2}+324x$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 3 kia riro ai te 4.

$$y=-x^{5}+6\left(-1\right)x^{4}+14x^{4}+33x^{3}-252x^{2}+324x$$

Whakareatia te 6 ki te -1, ka -6.

$$y=-x^{5}-6x^{4}+14x^{4}+33x^{3}-252x^{2}+324x$$

Pahekotia te -6x^{4} me 14x^{4}, ka 8x^{4}.

$$y=-x^{5}+8x^{4}+33x^{3}-252x^{2}+324x$$