Question

Which of the following is a factor of x2 − 21x + 110?

x+11
x-10
x-5
None of the above

Answer 1

x² - 21x + 110
first you break it up into two parenthesis & since x is squared you need two x's 
since 110 is positive and 21 is negitive, both of your signs need to be negitive
(x - ?)(x - ?)
then you need to think! what are the factors of 110?
Which of these factors add up to 21? those factors go in the parenthesis

Does this Help? Let me know if you need anything!

Answer 2

Answer:

Option B is correct. (x-10)

Step-by-step explanation:

The given term is = $x^{2} -21x+110$

Now, to know the factors of this term, we will split 110 in a way that the factors sum upto 21.

So, 110 can be split as $11\times10$ and the sum of 11 and 10 is 21.

Now, we will split the whole term as ;

$x^{2} -10x-11x+110=0$

$x(x-10)-11(x-10)=0$

$(x-11)(x-10)$

So, the factors of $x^{2} -21x+110$ are : (x-11) and (x-10)

Therefore, out of the given options, option B is correct.