SOLUTION: Use the Remainder Theorem and Synthetic Division to find the remainders in the following division problems.
x3 - 2x2 + 5x - 6 divided by x - 3
-2x4 - 6x2 + 3x + 1 divided by
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Question 536558: Use the Remainder Theorem and Synthetic Division to find the remainders in the following division problems.
x3 - 2x2 + 5x - 6 divided by x - 3
-2x4 - 6x2 + 3x + 1 divided by x + 1
x5 + 2x4 - 3x + 3 divided by x - 1
Find a polynomial of degree three that when divided by x - 2 has a remainder of 3. You will really have to think on this one. Hint: Work backwards!
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
There exists an infinite number of polynomial functions of degree 3 that are evenly divisible by 
. Just select your own values for 
and 
, and then multiply the three binomials (x\ -\ \beta)(x\ -\ 2))
. Once you have your polynomial that IS divisible by , add 
to it to get a polynomial that has a remainder of 3 when divided by . Hint: \ =\ (x\ -\ 2)^3\ +\ 3)
will work out nicely.
John
My calculator said it, I believe it, that settles it
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