Which is a factor of x2 – 9x + 14?
x – 9
x – 2
x + 5
x + 7

The binomial: (x-2) (second option of the list) is a factor of the given trinomial

Step-by-step explanation:

You are looking for two binomial factors of the form; (x+a) and (x+b), with values "a" and "b" such that:

Their product "a times b" results in: "+14" (the numerical term in the initial trinomial ,

and their combining "a+b" results in "-9" (the coefficient in the middle term of the trinomial)

Such number "a" and "b" are: "-2" and "-7".

We can see by multiplying the binomials formed with these numbers:

(x-2) and (x-7) that their product indeed renders the original trinomial:

therefore, the binomials (x-2) and (x-7) are factors of the given trinomial.

The only one shown among the four possible options is then: (x-2)

-4

step-by-step explanation: