Question

Greatest common factor of 5xy+10xy^2+5x

Answer 1

Greatest Common Factor

To find the GCF of an expression, find the greatest number that every term can divide by. One way we can do this is by factoring the expression.

Solving the Question

`5xy+10xy^2+5x`

Here, each term has the variable x. Factor this out by dividing each term by x:

`x(5y+10y^2+5)`

Now, each term has a factor of 5. Divide each term by 5:

`5x(y+2y^2+1)`

Now, there are no more common factors between each term.

Therefore, the GCF is 5x.

Answer

5x