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ALEBRA 2 HELP PLEASE PLEASE! polynomials!?

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31. Provide the prime factorization for the integer: 756
32. Provide the prime factorization for the integer: 3,861
33. Find the GCF and LCM for the monomials: 30, 35, 36, 42
34. Find the GCF and LCM for the monomials: 52r2s, 78rs2t
35. Find the GCF and LCM for the monomials: 22xy2z2, 33x2yz2, 44x2yz

asked Apr 13, 2013 in ALGEBRA 2 by angel12 Scholar

9 Answers

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3.1The prime factorization for the integer :756 =1×2 ×2 ×3× 3×3×7

                                                                         = 1×22 ×33 ×7

    The prime factorization for the integer :756 =2 ×2×3× 3×3×7

                                                                         =22× 33× 7

               Exponential form                                =  22×33×7.

answered Apr 13, 2013 by diane Scholar
0 votes

3.2

The prime factorization for the integer :3861 =1×3 ×9 ×143

                                                                         = 1 ×33 ×143

    The prime factorization for the integer :756 =3× 3×3×143

                                                                         = 33× 143

               Exponential form                                =  33×143.

 

answered Apr 13, 2013 by diane Scholar

Prime factorization for the integer 3861 = 3 × 3 × 3 × 11 × 13.

= 33 × 11 × 13.

0 votes

3.2

The prime factorization for the integer :3861 =1×3 ×9 ×143

                                                                         = 1 ×33 ×143

    The prime factorization for the integer :756 =3× 3×3×143

                 
                  Exponential form    
                                       = 33× 143
              .

 

answered Apr 13, 2013 by diane Scholar

Prime factorization for the integer 3861 = 3 × 3 × 3 × 11 × 13.

= 33 × 11 × 13.

 

0 votes

3.3

GCF

The numbers are 30, 35, 36, 42

The prime factorization of 30 = 2×3×5

The prime factorization of 35 = 5×7

The prime factorization of 36 = 2×2×3×3=2^2×3^2                                    
 The prime factorization of 42 = 2×3×7             .

The greatest common factor = 2^2×3^2×5×7

                                              = 4×9×35 =36×35

GCF = 1620.

 

answered Apr 14, 2013 by diane Scholar
0 votes

3.3

LCM :

LCM of 30, 35, 36, 42

2 left enclose bottom enclose 30 comma space 35 comma space 36 comma space 42 end enclose end enclose space space 3 space bottom enclose left enclose space 15 comma 35 comma 18 comma 21 end enclose end enclose space space 5 left enclose bottom enclose 5 comma 35 comma 6 comma 7 end enclose end enclose space space space 7 bottom enclose left enclose 1 comma 7 comma 6 comma 7 end enclose end enclose space space space space space 1 comma 1 comma 6 comma space 1  
L C M space equal 1 cross times 6 cross times 1 cross times 1 cross times 7 cross times 5 cross times 3 cross times 2

L C M space equal 1260

The least common multiple (LCM)=1260

 

answered Apr 14, 2013 by diane Scholar
0 votes

3.4

GCF

52r2s , 78rs2t

The prime factorization of monomial 52r2s =2×2×13×2×r×s

                                                                   =2^3×13×r×s

The prime factorization of monomial 78rs2t =2×3×13×2×s×t

                                                                    =2^2×3×13×s×t

The greatest common factor of two monomials =2^3×3×13×r×s×t

The greatest common factor of two monomials =2^3×39×rst

The greatest common factor of two monomials =8×39rst

The greatest common factor of two monomials =312rst

GCF = 312rst.

 

 

answered Apr 14, 2013 by diane Scholar
0 votes

33) Greatest common factor of 30, 35, 36, 42

The GCF is the product of the common prime factors in each number.

Factor each number and Circle the common prime factors.

image

image

image

image

The product of common prime factors, 1 is called the greatest common factor of 30, 35, 36, 42.

answered Jul 7, 2014 by david Expert
0 votes

34) Greatest common factor of 52r2s, 78rs2t

The GCF is the product of the common prime factors in each number.

Factor each monomial and Circle the common prime factors.

image

image

The product of common prime factors, 1 * 2 * 2 * 13 * r * s or 52rs is called the greatest common factor of 52r2s, 78rs2t.

Least common multiple of monomials 52r2s, 78rs2t.

LCM is the product of each factor the greatest number of times it occurs in any number.

Write the prime factorization of two monomials.

image

image

LCM = 1 * 23 * 3 * 13 * r * s * t  = 312 rst

Least common multiple of monomials 52r2s, 78rs2t is 312rst.

answered Jul 7, 2014 by david Expert
0 votes

35) Greatest common factor of the monomials 22xy2z2, 33x2yz2, 44x2yz

The GCF is the product of the common prime factors in each number.

Factor each monomial and Circle the common prime factors.

image

image

image

The product of common prime factors, 1 * 2 * 2 * x * y * z s or 4xyz is called the greatest common factor of 22xy2z2, 33x2yz2, 44x2yz

Least common multiple of monomials 22xy2z2, 33x2yz2, 44x2yz.

LCM is the product of each factor the greatest number of times it occurs in any number.

Write the prime factorization of three monomials.

image

image

image

LCM = 1 * 23 * 3 * 11 * x * y * z = 264 xyz.

Least common multiple of monomials 22xy2z2, 33x2yz2, 44x2yz is 264 xyz.

answered Jul 7, 2014 by david Expert

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