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 ;)
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]
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]