Question

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

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

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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.