Question

Which polynomial is represented by the factors (x+1)(x+5)

Answer 1

The product of these factors is found using the distributive property.

`(x+1)(x+5)=x(x+5)+1(x+5)\\\\=(x^2+5x)+(x+5)\\\\=x^2+(5+1)x+5=x^2+6x+5`