[PDF] [PDF] Factoring Quadratic Expressions - Kuta Software

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[PDF] Worksheet 26 Factorizing Algebraic Expressions

Exercises: 1 Factorize the following algebraic expressions: (a) 6x + 24 (b) 8x2 − 4x (c) 6xy + 10x2y The next common factorization that is important is called a perfect square Notice that (x + 5)2 Write the answers to two decimal places



[PDF] Factorising Exercises Question 1 Factorise each of the following

Simplify each of the following, so that your answer is a polynomial written in order of decreasing powers (a) (4x3 + 6x2 + 2x + 4) + (3x3 + 2x2 + 5x + 7) (b) ( 



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Read each question carefully before you begin answering it 2 Check your answers seem right 3 Always show your workings Revision for this topic



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Factorising equations • Identity: perfect pairs Answers 2 List all the factors for 120 – 120 = 1 × 120 Expanding and factorising are often used in algebra



[PDF] Factoring and Solving Quadratic Equations Worksheet

Factoring and Solving Quadratic Equations Worksheet Math Tutorial Lab Answers 1 3(x + 12) 2 4x(x + 4) 3 (x - 10)(x - 4) 4 (x + 6)(x - 2) 5 (x + 12)(x - 12)



[PDF] Expand and Factorise - Maths Genie

Answer the questions in the spaces provided – there may be more space than Check your answers if you have time at the end (b) Factorise completely 8x



[PDF] Simplification and Factorisation - Learn

Finally, factorisation, which can be considered as the reverse of the process, is dealt with Answer −2a − 7b HELM (2008): Section 1 3: Simplification and Exercises 1 Simplify, if possible, (a) 5x + 2x + 3x, (b) 3q − 2q + 11q, (c) 7x2 + 



[PDF] Factorisation worksheets grade 6 - Squarespace

The answer key will list the factorization using exponential notation: each main factor is raised to the appropriate effect Example worksheet Note: The maximum  



[PDF] FACTORING POLYNOMIALS

BE SURE YOUR ANSWERS WILL NOT FACTOR FURTHER All answers may be checked by multiplication Page 2 PRACTICE PROBLEMS:



[PDF] Factoring Quadratic Expressions - Kuta Software

Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name___________________________________ Period____ Date________________

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Kuta Software - Infinite Algebra 2 Name___________________________________

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Factoring Quadratic Expressions

Factor each completely.

1) x2 - 7 x - 182) p2 - 5 p - 14 3) m2 - 9 m + 84) x2 - 16 x + 63 5) 7 x2 - 31 x - 206) 7 k2 + 9 k 7) 7 x2 - 45 x - 288) 2 b2 + 17 b + 21 9) 5 p2 - p - 1810) 28
n4 + 16 n3 - 80 n2 -1-

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11) 3 b3 - 5 b2 + 2 b12) 7 x2 - 32 x - 60 13) 30
n2b - 87 nb + 30 b14) 9 r2 - 5 r - 10 15) 9 p2r + 73 pr + 70 r16) 9 x2 + 7 x - 56 17) 4 x3 + 43 x2 + 30 x18) 10 m2 + 89 m - 9

Critical thinking questions:

19) For what values of

b is the expression factorable? x2 + bx + 1220) Name four values of b which make the expression factorable: x2 - 3 x + b -2-

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Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________

Factoring Quadratic Expressions

Factor each completely.

1) x2 - 7 x - 18 x - 9)( x + 2) 2) p2 - 5 p - 14 p + 2)( p - 7) 3) m2 - 9 m + 8 m - 1)( m - 8) 4) x2 - 16 x + 63 x - 9)( x - 7) 5) 7 x2 - 31 x - 20 7 x + 4)( x - 5) 6) 7 k2 + 9 k k( 7 k + 9) 7) 7 x2 - 45 x - 28 7 x + 4)( x - 7) 8) 2 b2 + 17 b + 21 2 b + 3)( b + 7) 9) 5 p2 - p - 18 5 p + 9)( p - 2) 10) 28
n4 + 16 n3 - 80 n2 4 n2( 7 n - 10)( n + 2) -1-

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11) 3 b3 - 5 b2 + 2 b b( 3 b - 2)( b - 1) 12) 7 x2 - 32 x - 60 7 x + 10)( x - 6) 13) 30
n2b - 87 nb + 30 b 3 b( 2 n - 5)( 5 n - 2) 14) 9 r2 - 5 r - 10

Not factorable

15) 9 p2r + 73 pr + 70 r r( p + 7)( 9 p + 10) 16) 9 x2 + 7 x - 56

Not factorable

17) 4 x3 + 43 x2 + 30 x x( x + 10)( 4 x + 3) 18) 10 m2 + 89 m - 9 m + 9)( 10 m - 1)

Critical thinking questions:

19) For what values of

b is the expression factorable? x2 +quotesdbs_dbs5.pdfusesText_10