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.

she drove 134 miles

step-by-step explanation:

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: