Ask your own question, for FREE!
Mathematics 16 Online
OpenStudy (anonymous):

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 4, -2, and -1 + 2i

OpenStudy (anonymous):

\[(x-4)(x+2)(x-(-1+2i))(x-(-1-2i))\]

OpenStudy (anonymous):

the first part is routine \[(x-4)(x+2)\] it is the second part that requires work, but i can show you a snap way to do it if you like

OpenStudy (anonymous):

one way to find the quadratic with zero at \(-1+2i\) is to work backwards put \[x=-1+2i\] add 1 get \[x+1=2i\] square and get \[(x+1)^2=-4\] or \[x^2+2x+1=-4\] or \[x^2+2x+5\] that is your quadratic

OpenStudy (anonymous):

the real snappy way is to memorize that if \(a+bi\) is the zero of a quadratic, the equation is \[x^2-2ax+(a^2+b^2)\]

OpenStudy (anonymous):

ok this was such a big help so you just multiplied like terms and then broke down the 2i andi just did it on paper and got x^2-2x-8 the first part of (x-4)(x+2)

OpenStudy (anonymous):

i got -4x^2+8x+32 as the answer, correct?

OpenStudy (anonymous):

i made an error, my final answer is f(x) = x4 - 7x2 - 26x - 40

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
Graysonunderwoods: Have you even been beaten by a wet spaghetti noodle by your girlfriend because sh
38 minutes ago 48 Replies 1 Medal
AsianPanda08: What should i eat for dinner tonight? I can't choose
2 hours ago 51 Replies 2 Medals
Nina001: Trying 2 figure out what is the square root of 8746685
1 hour ago 30 Replies 2 Medals
SnowyBreaks: Is it bad to lose 3.8 pounds in less than 2 days?
1 hour ago 43 Replies 0 Medals
kaelynw: tried a lil smt, the arm is off but i like the other stuff
54 minutes ago 15 Replies 2 Medals
laylasnii13: Who wanna write or make a song with me???
6 hours ago 8 Replies 0 Medals
kaelynw: art igg
14 hours ago 13 Replies 2 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!