Answer :
The GCF of 15x and 6 are 3 and the GCF of 15[tex]x^{2}[/tex] + 6 is 3.
a) factors of 15x = 3,5,x
factors of 6= 2,3
Hence, GCF= 3
GCF is the greatest common factor. It is the largest common number among the factors of the given numbers.
b) We can factor expressions using GCF by taking that number common from both numbers.
say we have 15x + 6, and we have to factor the expression using GCF.
here we have the GCF of the numbers= 3
hence, we take 3 common from both the numbers in the given expression 15x + 6
=3(5x + 6)
This is how we can factor the expressions using GCF.
c) the GCF of 15[tex]x^{2}[/tex] + 6
let's find the factors of both numbers as follows-
15[tex]x^{2}[/tex] =3,5,x,x
6 = 2,3
Here, 3 is the largest common factor.
Hence, The GCF = 3.
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The complete question is -
What is the GCF of 15x and 6? How do you factor expressions using GCF?; What is the GCF of 15[tex]x^{2}[/tex] + 6?