Suppose one of the roots of the polynomial function is irrational. the roots of the function are 2, √3, and 5. write the equation for this polynomial function. which of the following must also be a root of the function? a –2 b –√3 c –5 d √2

B

Step-by-step explanation:

This is a good thing to put in mind. It is a simple enough question:  I have never met a math teacher who wouldn't put it on a test. Best news of all, if you know the answer, it takes more time to indicate it than to get that answer.

Irrational roots (and complex ones) always come in pairs. There are no exceptions to this rule.

If one root is √3 then there is another one that is -√3. They both come from a binomial that looks like (x^2 - 3) which factors as (x + √3)(x - √3) and the zeros are √3 and -√3

Always. No exceptions.

So the answer is B

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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