SOLUTION: If I gave you (j-5) as the binomial factor, can you show me a trinomial with a degree of 2 that this term could be a factor from?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: If I gave you (j-5) as the binomial factor, can you show me a trinomial with a degree of 2 that this term could be a factor from?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 536660: If I gave you (j-5) as the binomial factor, can you show me a trinomial with a degree of 2 that this term could be a factor from?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
complex roots always come in pairs
that are conjugates, like
+-5+%2B+j+ and +-5+-+j+
the roots are:
+%28x+-+%28+-5+%2B+j+%29%29%2A%28+x+-+%28-5+-+j+%29%29+
+x%5E2+-+%28+-5+%2B+j+%29%2Ax+-+%28+-5+-+j+%29%2Ax+%2B+%28+-5+%2B+j+%29%2A%28+-5+-+j+%29+
+x%5E2+%2B+5x+-+j%2Ax+%2B+5x+%2B+j%2Ax+%2B+25+-+5%2Aj+%2B+5%2Aj+-+j%5E2+
+x%5E2+%2B+10x+%2B+25+%2B+1+
+x%5E2+%2B+10x+%2B+26+ answer
check:
+x%5E2+%2B+10x+%2B+26+=+0+
+%28+-5+-+j+%29%5E2+%2B+10%2A%28+-5+-+j+%29+%2B+26+=+0+
+25+%2B+5j+%2B+5j+%2B+j%5E2+-+50+-+10%2Aj+%2B+26+=+0+
+25+%2B+10%2Aj+-+1+-+50+-+10%2Aj+%2B+26+=+0+
+25+%2B+26+-+1+-+50+=+0+
+0+=+0+
You can check other root