Question

Determine the factors of 15x2 + 3xy + 10x + 2y.

a. (3x + 2)(5x + y)
b. (5x + y)(2x + 3)
c. (3x + y)(5x + 2)
d. (5x + 3)(2x + y)

Answer 1

Letter A is the correct answer

Answer 2

The correct option is a.

Explanation:

The given expression is

`15x^2+3xy+10x+2y`

It can be written as

`(15x^2+10x)+(3xy+2y)`

Taking out the common factors from each parenthesis.

`5x(3x+2)+y(3x+2)`

Now, again taking out the common factors.

`(3x+2)(5x+y)`

Therefore the correct option is a.