Question

How did they find the real root of 1/4 in this polynomial division? http://www.wolframalpha.com/input/?i=%284x%5E3%2B23x%5E2%2B34x-10%29%2F%28x%5E2-6+x%2B10%29

Answer 1

Holy juuba!..IDK!

Answer 2

You can see the show steps for where the remainder is shown.

Answer 3

Because there is a 0 when the numerator is 0 so write 4x^3+23x^2+34x-10=0
1/4 is a possible real 0. Use synthetic division to show that it is a real 0