Whakaoti i te -62left(x+01right)left(x-05right)left(x-09right)left(x-12right)/left(-62+01right)left(-62-05right)left(-62-09right)left(-62-12right)

$$-62 \frac{ \left( x+01 \right) \left( x-05 \right) \left( x-09 \right) \left( x-12 \right) }{ \left( -62+01 \right) \left( -62-05 \right) \left( -62-09 \right) \left( -62-12 \right) }$$

Aromātai

$$-\frac{\left(x-12\right)x^{3}}{284456}$$

Ngā Upane Otinga

Whakareatia te 0 ki te 1, ka 0.

$$-62\times \frac{x\left(x-0\times 5\right)\left(x-0\times 9\right)\left(x-12\right)}{\left(-62\right)\left(-62-0\times 5\right)\left(-62-0\times 9\right)\left(-62-12\right)}$$

Whakareatia te 0 ki te 5, ka 0.

$$-62\times \frac{x\left(x-0\right)\left(x-0\times 9\right)\left(x-12\right)}{\left(-62\right)\left(-62-0\times 5\right)\left(-62-0\times 9\right)\left(-62-12\right)}$$

Whakareatia te 0 ki te 9, ka 0.

$$-62\times \frac{x\left(x-0\right)\left(x-0\right)\left(x-12\right)}{\left(-62\right)\left(-62-0\times 5\right)\left(-62-0\times 9\right)\left(-62-12\right)}$$

Whakareatia te x-0 ki te x-0, ka \left(x-0\right)^{2}.

$$-62\times \frac{x\left(x-0\right)^{2}\left(x-12\right)}{\left(-62\right)\left(-62-0\times 5\right)\left(-62-0\times 9\right)\left(-62-12\right)}$$

Tāpirihia te -62 ki te 0, ka -62.

$$-62\times \frac{x\left(x-0\right)^{2}\left(x-12\right)}{-62\left(-62-0\times 5\right)\left(-62-0\times 9\right)\left(-62-12\right)}$$

Whakareatia te 0 ki te 5, ka 0.

$$-62\times \frac{x\left(x-0\right)^{2}\left(x-12\right)}{-62\left(-62-0\right)\left(-62-0\times 9\right)\left(-62-12\right)}$$

Tangohia te 0 i te -62, ka -62.

$$-62\times \frac{x\left(x-0\right)^{2}\left(x-12\right)}{-62\left(-62\right)\left(-62-0\times 9\right)\left(-62-12\right)}$$

Whakareatia te -62 ki te -62, ka 3844.

$$-62\times \frac{x\left(x-0\right)^{2}\left(x-12\right)}{3844\left(-62-0\times 9\right)\left(-62-12\right)}$$

Whakareatia te 0 ki te 9, ka 0.

$$-62\times \frac{x\left(x-0\right)^{2}\left(x-12\right)}{3844\left(-62-0\right)\left(-62-12\right)}$$

Tangohia te 0 i te -62, ka -62.

$$-62\times \frac{x\left(x-0\right)^{2}\left(x-12\right)}{3844\left(-62\right)\left(-62-12\right)}$$

Whakareatia te 3844 ki te -62, ka -238328.

$$-62\times \frac{x\left(x-0\right)^{2}\left(x-12\right)}{-238328\left(-62-12\right)}$$

Tangohia te 12 i te -62, ka -74.

$$-62\times \frac{x\left(x-0\right)^{2}\left(x-12\right)}{-238328\left(-74\right)}$$

Whakareatia te -238328 ki te -74, ka 17636272.

$$-62\times \frac{x\left(x-0\right)^{2}\left(x-12\right)}{17636272}$$

Whakakorea atu te tauwehe pūnoa nui rawa 17636272 i roto i te 62 me te 17636272.

$$\frac{x\left(x-0\right)^{2}\left(x-12\right)}{-284456}$$

Whakamahia te āhuatanga tohatoha hei whakarea te x\left(x-0\right)^{2} ki te x-12.

$$\frac{\left(x-0\right)^{2}x^{2}-12x\left(x-0\right)^{2}}{-284456}$$

Whakareatia te -1 ki te 0, ka 0.

$$\frac{\left(x+0\right)^{2}x^{2}-12x\left(x-0\right)^{2}}{-284456}$$

Ko te tau i tāpiria he kore ka hua koia tonu.

$$\frac{x^{2}x^{2}-12x\left(x-0\right)^{2}}{-284456}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 2 kia riro ai te 4.

$$\frac{x^{4}-12x\left(x-0\right)^{2}}{-284456}$$

Whakareatia te -1 ki te 0, ka 0.

$$\frac{x^{4}-12xx^{2}}{-284456}$$

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.

$$\frac{x^{4}-12x^{3}}{-284456}$$

Whakaroha

$$-\frac{x^{4}}{284456}+\frac{3x^{3}}{71114}$$

Ngā Upane Otinga

Whakareatia te 0 ki te 1, ka 0.

$$-62\times \frac{x\left(x-0\times 5\right)\left(x-0\times 9\right)\left(x-12\right)}{\left(-62\right)\left(-62-0\times 5\right)\left(-62-0\times 9\right)\left(-62-12\right)}$$

Whakareatia te 0 ki te 5, ka 0.

$$-62\times \frac{x\left(x-0\right)\left(x-0\times 9\right)\left(x-12\right)}{\left(-62\right)\left(-62-0\times 5\right)\left(-62-0\times 9\right)\left(-62-12\right)}$$

Whakareatia te 0 ki te 9, ka 0.

$$-62\times \frac{x\left(x-0\right)\left(x-0\right)\left(x-12\right)}{\left(-62\right)\left(-62-0\times 5\right)\left(-62-0\times 9\right)\left(-62-12\right)}$$

Whakareatia te x-0 ki te x-0, ka \left(x-0\right)^{2}.

$$-62\times \frac{x\left(x-0\right)^{2}\left(x-12\right)}{\left(-62\right)\left(-62-0\times 5\right)\left(-62-0\times 9\right)\left(-62-12\right)}$$

Tāpirihia te -62 ki te 0, ka -62.

$$-62\times \frac{x\left(x-0\right)^{2}\left(x-12\right)}{-62\left(-62-0\times 5\right)\left(-62-0\times 9\right)\left(-62-12\right)}$$

Whakareatia te 0 ki te 5, ka 0.

$$-62\times \frac{x\left(x-0\right)^{2}\left(x-12\right)}{-62\left(-62-0\right)\left(-62-0\times 9\right)\left(-62-12\right)}$$

Tangohia te 0 i te -62, ka -62.

$$-62\times \frac{x\left(x-0\right)^{2}\left(x-12\right)}{-62\left(-62\right)\left(-62-0\times 9\right)\left(-62-12\right)}$$

Whakareatia te -62 ki te -62, ka 3844.

$$-62\times \frac{x\left(x-0\right)^{2}\left(x-12\right)}{3844\left(-62-0\times 9\right)\left(-62-12\right)}$$

Whakareatia te 0 ki te 9, ka 0.

$$-62\times \frac{x\left(x-0\right)^{2}\left(x-12\right)}{3844\left(-62-0\right)\left(-62-12\right)}$$

Tangohia te 0 i te -62, ka -62.

$$-62\times \frac{x\left(x-0\right)^{2}\left(x-12\right)}{3844\left(-62\right)\left(-62-12\right)}$$

Whakareatia te 3844 ki te -62, ka -238328.

$$-62\times \frac{x\left(x-0\right)^{2}\left(x-12\right)}{-238328\left(-62-12\right)}$$

Tangohia te 12 i te -62, ka -74.

$$-62\times \frac{x\left(x-0\right)^{2}\left(x-12\right)}{-238328\left(-74\right)}$$

Whakareatia te -238328 ki te -74, ka 17636272.

$$-62\times \frac{x\left(x-0\right)^{2}\left(x-12\right)}{17636272}$$

Whakakorea atu te tauwehe pūnoa nui rawa 17636272 i roto i te 62 me te 17636272.

$$\frac{x\left(x-0\right)^{2}\left(x-12\right)}{-284456}$$

Whakamahia te āhuatanga tohatoha hei whakarea te x\left(x-0\right)^{2} ki te x-12.

$$\frac{\left(x-0\right)^{2}x^{2}-12x\left(x-0\right)^{2}}{-284456}$$

Whakareatia te -1 ki te 0, ka 0.

$$\frac{\left(x+0\right)^{2}x^{2}-12x\left(x-0\right)^{2}}{-284456}$$

Ko te tau i tāpiria he kore ka hua koia tonu.

$$\frac{x^{2}x^{2}-12x\left(x-0\right)^{2}}{-284456}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 2 kia riro ai te 4.

$$\frac{x^{4}-12x\left(x-0\right)^{2}}{-284456}$$

Whakareatia te -1 ki te 0, ka 0.

$$\frac{x^{4}-12xx^{2}}{-284456}$$

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.

$$\frac{x^{4}-12x^{3}}{-284456}$$