SOLUTION: for the following, find the function P defined by a polynomial of degree 3 with real coefficients that satisfy the given condition. two of the zeros are 4 and 1+i the leading

Algebra.Com
Question 623808: for the following, find the function P defined by a polynomial of degree 3 with real coefficients that satisfy the given condition.
two of the zeros are 4 and 1+i
the leading coefficient is -5
p(x)=???
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,  

P(x) = -5(x-4)(x -(1+i))(x-(1-i)) = -5(x-4)(x^2 -2x + 2)= -5(x^3 - 6x^2 + 10x -8)

(x -(1+i))(x-(1-i)) = x^2 -2x + 2

F	First terms  x^2

O	Outside terms -x - i

I	Inside terms  -x + i

L	Last terms  (1+i))((1-i) = 2 

RELATED QUESTIONS


For the​ following, find the function P defined by a polynomial of degree 3 with real... (answered by josgarithmetic)

For the​ following, find the function P defined by a polynomial of degree 3 with real... (answered by MathLover1,math_tutor2020)

For the​ following, find the function P defined by a polynomial of degree 3 with real... (answered by josgarithmetic)

Find a polynomial function of degree 3 with real coefficients that has the given zeros.... (answered by josgarithmetic)

Find a polynomial function of degree 3 with real coefficients that has the given zeros.... (answered by ikleyn)

Find a polynomial function f(x) of degree 3 with real coefficients that satisfies the... (answered by Fombitz)

Find the third degree polynomial function with real coefficients and the given zeros for... (answered by josgarithmetic)

Find a polynomial of degree 3 with real coefficients that satisfies the given conditions
 (answered by Alan3354)

Find the 3rd degree polynomial function with real coefficients that has given zeros: 7... (answered by ewatrrr)