4. FACTORING NOT PST A=1.pptx MATHEMATICS

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1. FACTORING NOT PERFECT SQUARE TRINOMIAL (GENERAL TRINOMIAL a = 1)

2. ACTIVITY I: AM I PERFECT OR NOT? A. DIRECTION: CATEGORIZE THE FOLLOWING TRINOMIALS AS TO WHERE IT BELONGS. m² + 12m + 36 16d² - 24d + 9 p² + 5p + 6 q² + q – 12 9n² + 30nd + 25d² v² + 4v – 21 121c² + 66c + 9 q² - 3q – 18 n² - 17n + 72 49g² - 84g + 36 PERFECT SQUARE TRINOMIAL NOT PERFECT SQUARE TRINOMIAL B. FACTOR THE TRINOMIALS THAT BELONGS TO PERFECT SQUARE TRINOMIAL.

3. ACTIVITY I: AM I PERFECT OR NOT? A. DIRECTION: CATEGORIZE THE FOLLOWING TRINOMIALS AS TO WHERE IT BELONGS. PERFECT SQUARE TRINOMIAL NOT PERFECT SQUARE TRINOMIAL m² + 12m + 36 16d² - 24d + 9 p² + 5p + 6 q² + q – 12 9n² + 30nd + 25d² v² + 4v – 21 121c² + 66c + 9 q² - 3q – 18 n² - 17n + 72 49g² - 84g + 36

4. ACTIVITY I: AM I PERFECT OR NOT? PERFECT SQUARE TRINOMIAL FACTORS B. FACTOR THE TRINOMIALS THAT BELONGS TO PERFECT SQUARE TRINOMIAL. m² + 12m + 36 16d² - 24d + 9 (m + 6)² (4d – 3)² 9n² + 30nd + 25d² (3n + 5d)² 121c² + 66c + 9 (11c + 3)² (7g – 6)² 49g² - 84g + 36 = = = = =

5. FACTORING NOT PERFECT SQUARE TRINOMIAL (GENERAL TRINOMIAL a = 1)

6. ACTIVITY I: AM I PERFECT OR NOT? A. DIRECTION: CATEGORIZE THE FOLLOWING TRINOMIALS AS TO WHERE IT BELONGS. PERFECT SQUARE TRINOMIAL NOT PERFECT SQUARE TRINOMIAL m² + 12m + 36 16d² - 24d + 9 p² + 5p + 6 q² + q – 12 9n² + 30nd + 25d² v² + 4v – 21 121c² + 66c + 9 q² - 3q – 18 n² - 17n + 72 49g² - 84g + 36

7. HOW TO FACTOR GENERAL TRINOMIALS ax ² + bx + c WHERE a = 1? NOT PERFECT SQUARE TRINOMIAL p² + 5p + 6 q² + q – 12 v² + 4v – 21 q² - 3q – 18 n² - 17n + 72

8. HOW TO FACTOR GENERAL TRINOMIALS ax ² + bx + c WHERE a = 1? EXAMPLE: p² + 5p + 6 = ( )( ) FACTOR THE FIRST TERM p² = p ● p p p FACTOR THE LAST TERM 6 1 ● 6 -1 ● - 6 2 ● 3 -2 ● - 3 THE SUM FACTOR THE LAST TERM = 7 = -7 = +5 + 2 + 3

9. HOW TO FACTOR GENERAL TRINOMIALS ax ² + bx + c WHERE a = 1? EXAMPLE: q² + q - 12 = ( )( ) FACTOR THE FIRST TERM q ² = q ● q q q FACTOR THE LAST TERM -12 1 ● -12 -1 ● 12 4 ● - 3 -4 ● 3 THE SUM FACTOR THE LAST TERM = -11 = 11 = +1 + 4 - 3

10. HOW TO FACTOR GENERAL TRINOMIALS ax ² + bx + c WHERE a = 1? EXAMPLE: v ² + 4v - 21 = ( )( ) FACTOR THE FIRST TERM v² = v ● v v v FACTOR THE LAST TERM -21 -7 ● 3 7 ● - 3 1 ● - 21 -1 ● 21 THE SUM FACTOR THE LAST TERM = -4 = +4 = -20 + 7 - 3

11. HOW TO FACTOR GENERAL TRINOMIALS ax ² + bx + c WHERE a = 1? EXAMPLE: n ² - 17n + 72 = ( )( ) FACTOR THE FIRST TERM n ² = n ● n n n FACTOR THE LAST TERM 72 8 ● 9 -8 ● - 9 1 ● 72 -1 ● - 72 THE SUM FACTOR THE LAST TERM = 17 = -17 = 73 - 8 - 9

12. q² - 3q – 18

13. DRILL

14. 1. m² + m – 90 (m-9)(m+10)

15. 2 . m² + 2m – 24 (m+6)(m-4)

16. 3. k² - 13k + 40 (k-5)(k-8)

17. 4 . x² - x -56 (x+7)(x-8)

18. 5 . x² - 15x +50 (x-10)(x-5)

19. FACTOR BINGO GAME Caption

20. FACTOR

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