SOLUTION: Find the quadratic equation with integral coefficients having the given roots.
4 + 2i, 4 - 2i
Thanks!!
Algebra.Com
Question 431282: Find the quadratic equation with integral coefficients having the given roots.
4 + 2i, 4 - 2i
Thanks!!
Found 2 solutions by robertb, richard1234:
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The coefficient of x is equal to -(4 + 2i + 4- 2i) = -8.
The constant term is equal to (4+2i)(4-2i) = 16 - 4(-1) = 20.
Hence the quadratic equation is .
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
The quadratic will have and as factors. Hence, the quadratic is equal to (applying the difference of two squares)
Expanding and simplifying, this is equal to .
RELATED QUESTIONS
find a fourth-degree polynomial equation with integer coefficients that has the given... (answered by Fombitz)
write a polynomial function of least degree with integral coefficients having roots (... (answered by josgarithmetic)
Find a polynomial equation with real coefficients that has the given roots.... (answered by robertb)
Find a polynomial equation with real coefficients that has the given roots... (answered by josgarithmetic)
Determine the quadratic equation with integral coefficients having the roots:
-3 and (answered by checkley77)
Determine the quadratic equation with integral coefficients having the roots: 3/2 and... (answered by ankor@dixie-net.com)
Determine the quadratic equation with integral coefficients having the roots:
3/2 and... (answered by shweta)
Determine the quadratic equation with integral coefficients having the roots: 3/2 and... (answered by ankor@dixie-net.com)
Find a quadratic equation with integral coefficients having the given roots.... (answered by edjones)