SOLUTION: Find a third degree polynomial f(x), which has roots 2, 1-2i and which has y-intercept 2 (ie, f(0) =2).
Algebra.Com
Question 133139: Find a third degree polynomial f(x), which has roots 2, 1-2i and which has y-intercept 2 (ie, f(0) =2).
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
You are given two root. One of those roots is imaginary. So there is another imaginary root.
roots are 2, 1-2i, 1+2i
multiply to get
What is f(0)?
= -6
We want f(0) to be 2. So we need to divide our function by -3.
RELATED QUESTIONS
find a third degree polynomial equation which has zeros of 2, and i such that... (answered by Fombitz)
Find a 4th degree polynomial equation with integer coefficients which has
two... (answered by Edwin McCravy)
A polynomial of lowest degree with real coefficients which has 2, 3^1/2, and 2i as zeros... (answered by solver91311)
Find a third degree polynomial function f(x) with real coefficients that has -3,-2,and 2... (answered by jsmallt9)
Find a third degree polynomial function f(x) with real coefficients that has -2, 3i, and... (answered by robertb)
Find a possible formula for a polynomial f that has degree 2 or less, f(1)=f(4)=0 and... (answered by MathLover1,greenestamps,ikleyn)
determine a polynomial function F(x) of degree 3 which has the leading coefficient 2 and... (answered by tommyt3rd)
Find a third degree polynomial equation with rational coeffients that has roots -2 and... (answered by MathLover1)
Write a third degree polynomial function y = P(x) with rational coefficients so that P(x) (answered by josgarithmetic)