Question

5. x^2+2x+1Factors:(__________________________)(_____________________)

Answer 1

Question: what are the factors of the expression:

`x^2+2x+1`

Solution:

Let the expression

`x^2+2x+1`

If we apply the quadratic equation:

`\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}`

we get the zero of the polynomial

`f(x)=x^2+2x+1`

which is -1. Thus the polynomial can be factored in the following way

`x^2+2x+1\text{ = (x+1)(x+1)}=(x+1)^2`

then, we can conclude that the factors of the given polynomial are:

(x+1) and (x+1)