FACTORIZATION IN ALGEBRA ( PRACTICE FOR 8th GRADERS )

     FACTORIZATION IN ALGEBRA

         (PRACTICE FOR  7th & 8th GRADERS )

Type 1:

Factorize

(i) x² + 11x + 30

(ii) x² + 14x + 24

(iii) y² + 6y + 5

(iv) m² + 8m + 12

(v) k² + 19 k + 60

(vi) t² + 33t + 90

(vii) x² + 3x + 2

(viii) x² + 4x + 3

(ix) x² + 7x + 10

(x) x² +11x + 24

(xi) x² + 9x + 20

(xii) x²y² + 18xy + 32

(xiii) y⁴ + 13y² + 36

(xiv) x² + 20x + 36

(xv) x² + 7xy + 12y²

(xvi) m² + 13mn + 40n²

(xvii) t² + 25t + 24

(xviii) x² + 16x + 60

(xix) y² + 2y + 1

(xx) a² + 12ab + 36b²

TYPE 2

Factorise

(i) x² – 5x + 6

(ii) x² - 6x + 8

(iii) x² – 9x + 18

(iv) x² – 11x + 18

(v) x² -15x + 36

(vi) x² – 37x + 36

(vii) x² – 5x + 4

(viii) x² – 7x + 10

(ix) y² – 8 y + 7

(x) x² – 19x + 48

(xi) p²q² – 10 pq + 16

(xii) a²b²c² – 9abc + 20

(xiii) y² – 10yz + 21z²

(xiv) a² – 3ab + 2b2

(xv)  x²  - 7x + 6

(xvi) k² – 50k + 600

(xvii) t² – 29t + 100

(xviii) m² – 42mn + 80 n²

(xix)  y² – 14y + 49

(xx) a² – a + ¼

TYPE 3

Factorise

(i) x² + 3x – 10

(ii) k² + 8k – 20

(iii) m² + 6m – 40

(iv) a² + 2a – 48

(v) a² – 6a – 16

(vi) a² – 9m – 36

(vii) x² – 17x – 60

(viii) a² – 3a – 54

(ix) x² + x – 2

(x) a² – 4a – 5

(xi) a² + 6a – 7

(xii) y² – y – 20

(xiii) m² + 2m – 15

(xiv) a²b²+ 6ab – 40

(xiv) y² – 7y – 60

(xv) x² + 8x – 48

(xvi) a²  +  5ab – 24 b²

(xvii) m² – 3mn – 18n²

(xviii) a² + 7ab – 44b²

(xix) a² – 30a -  64

(xx) a²  + 7a – 8

TYPE 4

Factorise

(i) a² + 6a + 9

(ii) k² + 10k + 25

(iii) y² + 18y + 81

(iv) x² + 22x + 121

(v) x² + 40 x + 400

(vi) m² + 2m + 1

(vii) p² + 8p + 16

(viii) x² + 14x + 49

(ix) t² + 20t + 100

(x) k² + 12k + 36

(xi) a²b² + 24ab + 144

(xii) x²y²z² + 16xyz + 64

(xiii) a² + 6ab + 9b²

(xiv) x² + 20xy + 100y²

(xvi) 25 + 10a + a²

(xvii) 1 + 2b + b²

(xviii) x² + 8xy + 16y²

(xix) x² + (4/3)x + 4/9

(xx) a² + ab + ¼ b²

TYPE 5

 

Factorise:

(i) a² – 12 a +  36

(ii) x² – 30x + 225

(iii) y² – 14y  + 49

(iv) m² – 26m + 169

(v) k² – 50k + 625

(vi) t² – 18 t + 81

(vii) m² – 28m + 196

(viii) x² – 2x + 1

(ix) m² – 32m + 256

(x) b²c² – 6bc + 9

(xi) x² – 14xy + 49y²

(xii) a² – 60ab + 900b²

(xiii) x² – 5x + 6.25

(xiv) 121 – 22y + y²

(xvi) x² – (2/3)x  + 1/9

(xvii) p² – (4/5)p  + 4/25

(xviii) 81 – 18 xy  + x²y²

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