Aromātai
\left(x-1\right)\left(x+\left(-1-4i\right)\right)\left(x+\left(-1+4i\right)\right)
Whakaroha
x^{3}-3x^{2}+19x-17
Tohaina
Kua tāruatia ki te papatopenga
\left(x^{2}-x+4ix-x+1-4i\right)\left(x-1-4i\right)
Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o x-1 ki ia tau o x-1+4i.
\left(x^{2}+\left(-1+4i\right)x-x+1-4i\right)\left(x-1-4i\right)
Pahekotia te -x me 4ix, ka \left(-1+4i\right)x.
\left(x^{2}+\left(-2+4i\right)x+1-4i\right)\left(x-1-4i\right)
Pahekotia te \left(-1+4i\right)x me -x, ka \left(-2+4i\right)x.
x^{3}-x^{2}-4ix^{2}+\left(-2+4i\right)x^{2}+\left(2-4i\right)x+\left(16+8i\right)x+x-1-4i-4ix+4i-16
Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o x^{2}+\left(-2+4i\right)x+1-4i ki ia tau o x-1-4i.
x^{3}-x^{2}-4ix^{2}+\left(-2+4i\right)x^{2}+\left(2-4i\right)x+\left(16+8i\right)x+x-4ix-1-16+\left(-4+4\right)i
Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa.
x^{3}-x^{2}-4ix^{2}+\left(-2+4i\right)x^{2}+\left(2-4i\right)x+\left(16+8i\right)x+x-4ix-17
Mahia ngā tāpiri.
x^{3}+\left(-1-4i\right)x^{2}+\left(-2+4i\right)x^{2}+\left(2-4i\right)x+\left(16+8i\right)x+x-4ix-17
Pahekotia te -x^{2} me -4ix^{2}, ka \left(-1-4i\right)x^{2}.
x^{3}-3x^{2}+\left(2-4i\right)x+\left(16+8i\right)x+x-4ix-17
Pahekotia te \left(-1-4i\right)x^{2} me \left(-2+4i\right)x^{2}, ka -3x^{2}.
x^{3}-3x^{2}+\left(18+4i\right)x+x-4ix-17
Pahekotia te \left(2-4i\right)x me \left(16+8i\right)x, ka \left(18+4i\right)x.
x^{3}-3x^{2}+\left(19+4i\right)x-4ix-17
Pahekotia te \left(18+4i\right)x me x, ka \left(19+4i\right)x.
x^{3}-3x^{2}+19x-17
Pahekotia te \left(19+4i\right)x me -4ix, ka 19x.
\left(x^{2}-x+4ix-x+1-4i\right)\left(x-1-4i\right)
Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o x-1 ki ia tau o x-1+4i.
\left(x^{2}+\left(-1+4i\right)x-x+1-4i\right)\left(x-1-4i\right)
Pahekotia te -x me 4ix, ka \left(-1+4i\right)x.
\left(x^{2}+\left(-2+4i\right)x+1-4i\right)\left(x-1-4i\right)
Pahekotia te \left(-1+4i\right)x me -x, ka \left(-2+4i\right)x.
x^{3}-x^{2}-4ix^{2}+\left(-2+4i\right)x^{2}+\left(2-4i\right)x+\left(16+8i\right)x+x-1-4i-4ix+4i-16
Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o x^{2}+\left(-2+4i\right)x+1-4i ki ia tau o x-1-4i.
x^{3}-x^{2}-4ix^{2}+\left(-2+4i\right)x^{2}+\left(2-4i\right)x+\left(16+8i\right)x+x-4ix-1-16+\left(-4+4\right)i
Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa.
x^{3}-x^{2}-4ix^{2}+\left(-2+4i\right)x^{2}+\left(2-4i\right)x+\left(16+8i\right)x+x-4ix-17
Mahia ngā tāpiri.
x^{3}+\left(-1-4i\right)x^{2}+\left(-2+4i\right)x^{2}+\left(2-4i\right)x+\left(16+8i\right)x+x-4ix-17
Pahekotia te -x^{2} me -4ix^{2}, ka \left(-1-4i\right)x^{2}.
x^{3}-3x^{2}+\left(2-4i\right)x+\left(16+8i\right)x+x-4ix-17
Pahekotia te \left(-1-4i\right)x^{2} me \left(-2+4i\right)x^{2}, ka -3x^{2}.
x^{3}-3x^{2}+\left(18+4i\right)x+x-4ix-17
Pahekotia te \left(2-4i\right)x me \left(16+8i\right)x, ka \left(18+4i\right)x.
x^{3}-3x^{2}+\left(19+4i\right)x-4ix-17
Pahekotia te \left(18+4i\right)x me x, ka \left(19+4i\right)x.
x^{3}-3x^{2}+19x-17
Pahekotia te \left(19+4i\right)x me -4ix, ka 19x.
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