Which of the binomials below is a factor of this trinomial ? x^2 -13+42

In this case we have the following trinomial:

By definition, the factorization is a technique that consists in the mathematical decomposition of an expression, in the form of a product. Having said that, we can factor the given trinomial in the following way:

We look for two numbers that when multiplied give as result 42, and when summed give as result -13.

The numbers that meet these two conditions are -6 and -7 by:

So, we have:

The binomials associated with the given trinomial are and .

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: