Find the factorization of the polynomial below. 121x^2-22x+1

A little bit of trained eyeballing can help here. Let me tell you how I saw the answer without any computation.

Remember that the expansion of a squared binomial is

So, the square of a binomial has the following properties, which you can easily spot:

- It has three terms

- Two of them are perfect squares

- The third is twice the product of the two roots.

Well, in this case we do have three terms, and indeed is the square of 11x, and 1 is the square of itself. The only thing we have to check is that 22x is twice the product of 11x and 1, which is true.

So, the answer is

If you want to see some explicit calculations, just use the quadratic formula

to see that there is a double solution , and then use the formula

to come to the same conclusion.

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation: