Three tricky questions that need solving..
I have three questions that which are throwing me for a loop. While I understand some of the principals behind them, the questions themselves defy my ability to work out.
(I have no idea where to begin to work this one out, or even if I have to...)
Q2:Find a quadratic equation with the roots (4+i) and (4-i).
(I have no idea where to start with this one either.......)
Q3:Use the factor theorem to determine whether (x-3) is a factor of
(I don't understand understand the Factor Theorem very well, so I find myself thoroughly lost.)
Many thanks in advance!
bad type setting on my part.
Well....I remember that when doing synthetic division the non-variable aspect of the divisor is used to "divide" the coefficients, but I can't remember if I am to use 3 or -3 in the place of the 'r'.
Originally Posted by e^(i*pi)
1 12 0 6 27
-3 -27 81 -261
1 9 -27 87 |-234
1 12 0 6 27
3 45 135 423
1 15 45 141 | 450
I know that the second version's remainder coincides with the function as worked with x=3. Therefore I am guessing that the second version is correct from what I understand of synthetic division and the remainder theorem, but I just want to make sure.
Because I worked the function as f(3) and it does not equal 0, I think that means that (x-3) is not a factor, right?