Mathematics, 17.02.2020 05:37 josephnoah12161
Here we work in the system of integer polynomials. Those are polynomials of the Form f(x)=rnxn+···+r1x+r0 where every coefficient is an integer.
General question:
When does some combination of the polynomials ax + b and cx + d equal 1 ? That is, when do there exist integer polynomials P(x) and Q(x) with
P(x)·(ax + b) + Q(x)·(cx + d) = 1 ? We concentrate here on cases when c = 0.
(a) Prove: No combination of 2x + 5 and 3 can equal 1. That is, no integer polynomials P (x), Q(x) can satisfy:
P (x)·2x + 5 + Q(x)·3 = 1.
(b) Find a combination of 2x + 5 and 4 that equals 1.
(c) Does some combination of 15x+9 and 25 equal 1? How about 15x+9 and 20? Explain your reasoning.
(d) Investigate further examples of ax + b and d, deciding in each case whether 1 is a combination. What patterns do you detect?
Can you prove that some of your observed patterns always hold true?
Answers: 1
Mathematics, 21.06.2019 13:30, hannahelisabeth19
One expression below in undefined, and the other expression has a well defined value. which expression is undefined and explain why it has no value. which expression is defined? what is the value of that expression and how do you know? what is a different expression using a trig inverse function that is also undefined?
Answers: 1
Mathematics, 21.06.2019 18:00, mooreadrian412
The brain volumes (cm cubed) of 50 brains vary from a low of 904 cm cubed to a high of 1488 cm cubed. use the range rule of thumb to estimate the standard deviation s and compare the result to the exact standard deviation of 175.5 cm cubed, assuming the estimate is accurate if it is within 15 cm cubed
Answers: 2
Mathematics, 21.06.2019 21:30, Joejoe1813
Due to bad planning, two of the local schools have their annual plays on the same weekend. while 457 people attend one, and 372 attend the other, only 104 people were able to attend both. how many people went to at least one play?
Answers: 1
Here we work in the system of integer polynomials. Those are polynomials of the Form f(x)=rnxn+···+r...
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