SOLUTION: Write the equation, in standard form, of a polynomial with real coefficients that has roots at 2, 1−2i, and 1+4i, and passes through the point (0,98). Your answer should

Question 930626: Write the equation, in standard form, of a polynomial with real coefficients that has roots at 2, 1−2i, and 1+4i, and passes through the point (0,98).
Your answer should include only (decimal) numbers, the letter "x", and the characters "+", "-", and "^"
f(x)=___________
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Write the equation, in standard form, of a polynomial with real coefficients that has roots at :
,
, complex roots always come in pairs, so you have too
, and as well
passes through the point (,).
where is coefficient

since passes through the point (,) set and and solve for coefficient

exact value, and for more accurate result I will use exact value

we can round it and get shorter form, but zeros will not be exact

RELATED QUESTIONS
A cubic polynomial equation, P(x)=0, has real coefficients and a leading coefficient of... (answered by josgarithmetic)

Write a polynomial function of minimum degree with real coefficients whose zeros include... (answered by Glaviolette)

Write a polynomial with rational coefficients so that P(x)=0 has the given roots: -1 and... (answered by Boreal,MathLover1)

Find a polynomial equation with real coefficients that has the roots -3 and... (answered by richard1234)

Write a polynomial function of minimum degree with real coefficients whose zeros include... (answered by greenestamps)

Write a polynomial function of minimum degree with real coefficients whose zeros include... (answered by MathLover1)

Find a third degree polynomial equation in standard form with rational coefficients that... (answered by stanbon)

Find a polynomial equation with real coefficients that has the given zeros. 1-2i and... (answered by amarjeeth123)

Write a polynomial function of minimum degree with real coefficients whose zeros include... (answered by josgarithmetic)

SOLUTION: Write the equation, in standard form, of a polynomial with real coefficients that has roots at 2, 1&#8722;2i, and 1+4i, and passes through the point (0,98). Your answer should

SOLUTION: Write the equation, in standard form, of a polynomial with real coefficients that has roots at 2, 1−2i, and 1+4i, and passes through the point (0,98). Your answer should