SOLUTION: Find a polynomial with integer coefficients that satisfies the given conditions:
P has a degree 2 and zeros {{{1+i sqrt( 7 ) }}} and {{{1-i sqrt( 7 ) }}}
I tried multiple times
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: Find a polynomial with integer coefficients that satisfies the given conditions:
P has a degree 2 and zeros {{{1+i sqrt( 7 ) }}} and {{{1-i sqrt( 7 ) }}}
I tried multiple times
Log On
Question 1099265: Find a polynomial with integer coefficients that satisfies the given conditions:
P has a degree 2 and zeros and
I tried multiple times to get the formulat right, Im sorry I cant figure it out. Found 2 solutions by Fombitz, Boreal:Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! Ax^2+Bx+C=0
the roots are 1+/- i sqrt(7)
in the quadratic formula, one divides by 2a, so let a=1 and we will be dividing by 2
if we do that, the numerator must be 2+/-2i sqrt(7)
this is 2+/- 2sqrt (-7); note that the sqrt term is sqrt (-28), because that may be broken down into sqrt(4)*sqrt(-7) which is 2*i sqrt(7)
b=-2
b^2-4ac=-28, a=1, b=-2, so find c
4-4(1)(c)=-28
-4c=-32
c=8
x^2-2x+8
