A' factaradh abairtean trì-theirmeach
Bidh abairt thrì-theirmeach san riochd:
\(a{x^2} + bx + c\)
Gus abairt thrì-theirmeach fhactaradh, cuir air ais i ann am paidhir chamagan.
Airson nan teirmean a thèid eadar na camagan, lorg paidhir àireamhan a bheir dhut, nuair a dh'iomadaicheas tu iad, an àireamh mu dheireadh, agus cuir-ris iad gus an àireamh sa mheadhan obrachadh a-mach.
Eisimpleir
Factaraich an abairt thrì-theirmeach a leanas.
\({a^2} + 7a + 12\)
An toiseach lorg na h-àireamhan a bhios eadar gach camag.
Lorg paidhir àireamhan a bheir dhut, nuair a dh'iomadaicheas tu iad, an àireamh mu dheireadh agus cuir-ris airson an àireamh sa mheadhan a lorg.
Airson na h-abairt seo, tha sinn a' lorg dà àireimh a bheir dhut 12 ma dh'iomadaicheas tu iad agus 7 ma nì thu cur-ris.
| Factaran de 12 | A' cur-ris nam factaran |
| \(1 x 12\) | \(13\) |
| \(-1x-12\) | \(-13\) |
| \(2 x 6\) | \(8\) |
| \(-2x-6\) | \(- 8\) |
| \(3x4\) | \(7\) |
| \(- 3x - 4\) | \(- 7\) |
| Factaran de 12 | \(1 x 12\) |
|---|---|
| A' cur-ris nam factaran | \(13\) |
| Factaran de 12 | \(-1x-12\) |
|---|---|
| A' cur-ris nam factaran | \(-13\) |
| Factaran de 12 | \(2 x 6\) |
|---|---|
| A' cur-ris nam factaran | \(8\) |
| Factaran de 12 | \(-2x-6\) |
|---|---|
| A' cur-ris nam factaran | \(- 8\) |
| Factaran de 12 | \(3x4\) |
|---|---|
| A' cur-ris nam factaran | \(7\) |
| Factaran de 12 | \(- 3x - 4\) |
|---|---|
| A' cur-ris nam factaran | \(- 7\) |
Mar sin 's e am freagairt: \((a + 3)(a + 4)\)
Dèan cinnteach gu bheil do fhreagairt ceart le bhith ag iomadachadh a-mach nan camagan a-rithist.
Feuch a-nis na ceistean gu h-ìosal.
Question
Factaraich na leanas:
\({b^2} + 9b + 20\)
Tha sinn ag iarraidh fhactaran de 20 a bheir dhuinn 9 le cur-ris.
| Factaran de 20 | A' cur-ris nam factaran |
| \(1x20\) | \(21\) |
| \(-1x-20\) | \(- 21\) |
| \(2x10\) | \(12\) |
| \(-2x-10\) | \(- 12\) |
| \(4 x 5\) | \(9\) |
| \(-4x - 5\) | \(- 9\) |
| Factaran de 20 | \(1x20\) |
|---|---|
| A' cur-ris nam factaran | \(21\) |
| Factaran de 20 | \(-1x-20\) |
|---|---|
| A' cur-ris nam factaran | \(- 21\) |
| Factaran de 20 | \(2x10\) |
|---|---|
| A' cur-ris nam factaran | \(12\) |
| Factaran de 20 | \(-2x-10\) |
|---|---|
| A' cur-ris nam factaran | \(- 12\) |
| Factaran de 20 | \(4 x 5\) |
|---|---|
| A' cur-ris nam factaran | \(9\) |
| Factaran de 20 | \(-4x - 5\) |
|---|---|
| A' cur-ris nam factaran | \(- 9\) |
'S 4 agus 5 na factaran a tha a dhìth.
Mar sin 's e am freagairt: \((b + 4)(b + 5)\)
Question
Factaraich na leanas:
\({c^2} - 3c - 10\)
Coimhead airson dà àireimh a bheir dhut -10 nuair a dh'iomadaicheas tu iad agus -3 le cur-ris.
| Factaran de -10 | A' cur-ris nam factaran |
| \(1x - 10\) | \(- 9\) |
| \(-1 x 10\) | \(9\) |
| \(2 x -5\) | \(-3\) |
| \(-2 x 5\) | \(3\) |
| Factaran de -10 | \(1x - 10\) |
|---|---|
| A' cur-ris nam factaran | \(- 9\) |
| Factaran de -10 | \(-1 x 10\) |
|---|---|
| A' cur-ris nam factaran | \(9\) |
| Factaran de -10 | \(2 x -5\) |
|---|---|
| A' cur-ris nam factaran | \(-3\) |
| Factaran de -10 | \(-2 x 5\) |
|---|---|
| A' cur-ris nam factaran | \(3\) |
'S e 2 agus -5 na factaran a tha a dhìth.
Mar sin 's e am freagairt \((c - 5)(c + 2)\)
Question
Factaraich na leanas:
\({y^2} + y - 30\)
An toiseach lorg factaran de -30 a bheir dhut 1 le cur-ris.
| Factaran de -30 | A' cur-ris nam factaran |
| \(1x - 30\) | \(- 29\) |
| \(-1 x 30\) | \(29\) |
| \(2x - 15\) | \(-13\) |
| \(-2 x 15\) | \(13\) |
| \(3x - 10\) | \(- 7\) |
| \(-3 x 10\) | \(7\) |
| \(5x - 6\) | \(-1\) |
| \(- 5 x 6\) | \(1\) |
| Factaran de -30 | \(1x - 30\) |
|---|---|
| A' cur-ris nam factaran | \(- 29\) |
| Factaran de -30 | \(-1 x 30\) |
|---|---|
| A' cur-ris nam factaran | \(29\) |
| Factaran de -30 | \(2x - 15\) |
|---|---|
| A' cur-ris nam factaran | \(-13\) |
| Factaran de -30 | \(-2 x 15\) |
|---|---|
| A' cur-ris nam factaran | \(13\) |
| Factaran de -30 | \(3x - 10\) |
|---|---|
| A' cur-ris nam factaran | \(- 7\) |
| Factaran de -30 | \(-3 x 10\) |
|---|---|
| A' cur-ris nam factaran | \(7\) |
| Factaran de -30 | \(5x - 6\) |
|---|---|
| A' cur-ris nam factaran | \(-1\) |
| Factaran de -30 | \(- 5 x 6\) |
|---|---|
| A' cur-ris nam factaran | \(1\) |
'S e -5 agus 6 na factaran a tha a dhìth.
Mar sin 's e am freagairt \((y - 5)(y + 6)\)