Question

Which statements about the factors of the terms in the expression 20a+15ab+24b are true?

Answer 1

1) Expression given: 20a+15ab+24b


2) Greates common factor GFC:

i) Coefficients:

20 = 2² × 5 × 1

15 = 3 × 5 × 1

24 = 2³ × 8 × 1


GCF = common numbers raised to the lower power = 1.


ii) Letters:
a
ab
b
Since, none letter is in the three terms, then there is not common letter as GFC.

iii) Conclusion the GCF is 1.


3) Let's see every option of the list:


i) The factors common to 20a and 15ab are 1, 5, a, and b.


FALSE: becasue b is not in 20a.


ii) The factors common to 20a and 15ab are 1, 5, and a.


TRUE: 1, 5, and a are in contained in both terms.

iii) The factors common to 15ab and 24b are 1, 3, a, and b.


FALSE: a is not in 24b

iv) The factors common to 15ab and 24b are 1, 3, and b.


TRUE: 1, 3, and b are contained in both terms.

v) The factors common to 20a and 24b are 1, 2, 4, a, and b.


FALSE: a is not in 24b and b is not in 20a.

vi) The factors common to 20a and 24b are 1, 2, and 4.


TRUE: 1, 2, and 4 are contained in both terms.

vii) The GCF of the expression is ab.


FALSE: as seen above ab is not a common factor.

viii) The GCF of the expression is 1


TRUE: it was proved above.

Answer 2

Answer:

B, C and D

Step-by-step explanation: