Use the distributive property to factor out this common factor and then express polynomial as a product of two binomials: xy + 5y + 2x + 10?

First, we can factor out the common factor of y from the polynomial:

xy + 5y + 2x + 10
= y(x + 5) + 2(x + 5)

Now, we can express the polynomial as a product of two binomials:

(y + 2)(x + 5)

First, factor out the greatest common factor of the terms:

$$xy+5y+2x+10=y(x+5)+2(x+5)$$

Then, factor out the common binomial factor:

$$y(x+5)+2(x+5)=(x+5)(y+2)$$

Therefore, the polynomial can be expressed as the product of the two binomials $$(x+5)(y+2)$$.