1 / 14

Brackets & Factors

Learn about expanding & factorising brackets and factorisation process in mathematics with examples and explanations.

twilac
Download Presentation

Brackets & Factors

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Brackets & Factors OCR Stage 6

  2. What is 3(2 + 4) ? 3 ‘lots’ of ‘2 + 4’ = 3 ‘lots’ of 6 = 18 4 2 x = 18 3 12 6

  3. What is 3(x + 4) ? 3 ‘lots’ of ‘x + 4’ 4 x x 3 3x 12 = 3x + 12

  4. What is 5(2x + 1) ? 5 ‘lots’ of ‘2x + 1’ 1 2x x 5 10x 5 = 10x + 5

  5. What is 4(x - 2) ? 4 ‘lots’ of ‘x - 2’ -2 x x = 4x - 8 4 4x -8

  6. What is x(x + 3) ? x ‘lots’ of ‘x + 3’ What is x times x? 3 x x = x2 + 3x x x2 3x

  7. What is 2x(x - 3) ? 2x ‘lots’ of ‘x - 3’ -3 x x 2x 2x2 -6x = 2x2 – 6x

  8. What is -x(2x + 3) ? -x ‘lots’ of ‘2x + 3’ 3 2x x -x -2x2 -3x = -2x2 – 3x We call this process ‘expanding a bracket’

  9. What is a Factor? Factorising an expression • This is the reverse of expanding a bracket Eg Factorise 4x + 2 A FACTOR of a number is a number that divides into the number EXACTLY

  10. 4x + 2 Eg Factorise 4x + 2 What number divides into BOTH parts of the expression EXACTLY? 2x +1 2 = 2(2x + 1) How could we check this?

  11. Eg Factorise 6x - 9 What number divides into BOTH parts of the expression EXACTLY? 2x - 3 3 6x - 9 = 3(2x – 3)

  12. Eg Factorise x2 + x What number divides into BOTH parts of the expression EXACTLY? x + 1 x x2 + x = x(x + 1)

  13. Eg Factorise 8x2 – 4x What number divides into BOTH parts of the expression EXACTLY? 2x - 1 4x 8x2 – 4x = 4x(2x - 1)

  14. Eg Factorise 6 - 4x2 What number divides into BOTH parts of the expression EXACTLY? 3 - 2x2 2 6 - 4x2 = 2(3 – 2x2)

More Related