Factorising Into Complex Factors

e.g. 3584 234 xxxxxPGiven that has two rational zeros, find these zeros and factorise P(x) over the complex field.

Factorising Into Complex Factors

e.g. 3584 234 xxxxxP

0

321

415

818

1614

21

P

Given that has two rational zeros, find these zeros and factorise P(x) over the complex field.

Factorising Into Complex Factors

e.g. 3584 234 xxxxxP

0

321

415

818

1614

21

P

factor a is12 x

Given that has two rational zeros, find these zeros and factorise P(x) over the complex field.

Factorising Into Complex Factors

e.g. 3584 234 xxxxxP

0

321

415

818

1614

21

P

factor a is12 x

3 212 3 xxxP

Given that has two rational zeros, find these zeros and factorise P(x) over the complex field.

Factorising Into Complex Factors

e.g. 3584 234 xxxxxP

0

321

415

818

1614

21

P

factor a is12 x

3 212 3 xxxP

Given that has two rational zeros, find these zeros and factorise P(x) over the complex field.

x5

Factorising Into Complex Factors

e.g. 3584 234 xxxxxP

0

321

415

818

1614

21

P

factor a is12 x

3 212 3 xxxP

Given that has two rational zeros, find these zeros and factorise P(x) over the complex field.

x525x

0

3235

495

8272

23

P

0

3235

495

8272

23

P

factorais32 x

0

3235

495

8272

23

P

factorais32 x

23- and

21 are zeros rational

0

3235

495

8272

23

P

factorais32 x

23- and

21 are zeros rational

1 3212 2 xxxxP

0

3235

495

8272

23

P

factorais32 x

23- and

21 are zeros rational

1 3212 2 xxxxPxx

xx2121

6231

0

3235

495

8272

23

P

factorais32 x

23- and

21 are zeros rational

1 3212 2 xxxxPxx

xx2121

6231

xxx

3?314

0

3235

495

8272

23

P

factorais32 x

23- and

21 are zeros rational

1 3212 2 xxxxPxx

xx2121

6231

xxx

3?314

x

0

3235

495

8272

23

P

factorais32 x

23- and

21 are zeros rational

1 3212 2 xxxxPxx

xx2121

6231

xxx

3?314

x

43

213212

2

xxx

0

3235

495

8272

23

P

factorais32 x

23- and

21 are zeros rational

1 3212 2 xxxxPxx

xx2121

6231

xxx

3?314

x

43

213212

2

xxx

ixixxx23

21

23

213212

Exercise 5C; 1 to 15 odds, 16 to 20 all

0

3235

495

8272

23

P

factorais32 x

23- and

21 are zeros rational

1 3212 2 xxxxPxx

xx2121

6231

xxx

3?314

x

43

213212

2

xxx

ixixxx23

21

23

213212