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X2 T02 02 complex factors
1. Factorising Into
Complex Factors
e.g. Given that P x 4 x 4 8 x 3 5 x 2 x 3 has two rational zeros,
find these zeros and factorise P(x) over the complex field.
2. Factorising Into
Complex Factors
e.g. Given that P x 4 x 4 8 x 3 5 x 2 x 3 has two rational zeros,
find these zeros and factorise P(x) over the complex field.
1 1 1 1 1
P 4 8 5 3
2 16 8 4 2
0
3. Factorising Into
Complex Factors
e.g. Given that P x 4 x 4 8 x 3 5 x 2 x 3 has two rational zeros,
find these zeros and factorise P(x) over the complex field.
1 1 1 1 1
P 4 8 5 3
2 16 8 4 2
0 2 x 1 is a factor
4. Factorising Into
Complex Factors
e.g. Given that P x 4 x 4 8 x 3 5 x 2 x 3 has two rational zeros,
find these zeros and factorise P(x) over the complex field.
1 1 1 1 1
P 4 8 5 3
2 16 8 4 2
0 2 x 1 is a factor
P x 2 x 12 x 3 3
5. Factorising Into
Complex Factors
e.g. Given that P x 4 x 4 8 x 3 5 x 2 x 3 has two rational zeros,
find these zeros and factorise P(x) over the complex field.
1 1 1 1 1
P 4 8 5 3
2 16 8 4 2
0 2 x 1 is a factor
P x 2 x 12 x 3 5 x 3
6. Factorising Into
Complex Factors
e.g. Given that P x 4 x 4 8 x 3 5 x 2 x 3 has two rational zeros,
find these zeros and factorise P(x) over the complex field.
1 1 1 1 1
P 4 8 5 3
2 16 8 4 2
0 2 x 1 is a factor
P x 2 x 12 x 3 5x 2 5 x 3