Math 1050/College Algebra Homework Help!
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Math 1050/College Algebra Homework Help!

[From: ] [author: ] [Date: 11-10-31] [Hit: ]
I got this...Which is wrong..I HAVE NO CLUE WHAT I AM DOING WRONG OR WHAT THE RIGHT ANSWER IS!......
Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree: 4; Zeros: -4+2i; -3 multiplicity 2.

It asks me to enter the polynomial.

I got this...f(x) = a(x^4-2x^3-19x^2+48x+180
Which is wrong..

I HAVE NO CLUE WHAT I AM DOING WRONG OR WHAT THE RIGHT ANSWER IS!?!?! RAGE!!!!

Please help ;)

-
-4+2i is a root, so is -4-2i
x= -4+/-2i
x+4 = +/-2i ==> (x+4)^2 = -4 ==> x^2+8x+20 = 0

so x^2+8x+20 is a factor.
-3 is a root with multiplicity 2. So (x+3)^2 is another factor.

f(x) = a[(x+3)^2][x^2+8x+20]
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