Is (x-1) a factor of x^100+4x^99+3? can you show steps

The answer is no because .

Step-by-step explanation:

If is a factor of , then .

Let's check.

Since , then is not a factor of .

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So anyways more on how this works:

If where is the remainder and is the quotient of the division, then multiplying both sides by gives .

We see that is a factor if the remainder is 0. (Just like we know 2 is a factor of 6 because when we divide 6 by 2 we get a remainder of 0.)

Anyways if we evaluate for we get:

So evaluating for will tell us the remainder of the quotient without actually performing division.

The remainder will tell us if is a factor of

If the remainder is 0, then the answer is yes.

If the remainder is not 0, then the answer is no.

(The question to be answer "Is this a factor of this?")

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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step-by-step explanation: