Question

Factor the expression, x^2+6x+5

Answer 1

What are two numbers that multiply to 5 AND add to 6?

Answer 2

Hmm, 1 and 5?

Answer 3

x^2+6x+5 =

x^2 + 5x + 1x + 5 =

x*(x + 5) + 1*(x + 5)=

(x + 5)*(x + 1)

Answer 4

Notice that the 6x was split into 1x + 5x for factoring by grouping.

Then, there was a common factor of (x + 5) to factor out, leaving (x + 1)

Answer 5

Okay lemme write this on paper one sec :)

Answer 6

how did you go from
x*(x + 5) + 1*(x + 5)=
to
(x + 5)*(x + 1)

Answer 7

You're multiplying both x and 1 by (x+5), so you can rewrite it. Distributive property I think.

Answer 8

Consider: 5x + 5 y = 5*(x + y) where 5 is a common monomial factor.

Think about the (x + 5) in the same way and factor it out.