SOLUTION: What is the equation of the polynomial with a leading coefficient of 2, and with the roots: -6 6 and 2i?
Algebra.Com
Question 1010025: What is the equation of the polynomial with a leading coefficient of 2, and with the roots: -6 6 and 2i?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
the polynomial with a leading coefficient of , and with the roots:
and
-> if we have this root, we have because complex roots always come in pairs
use zero product theorem and a leading coefficient of :
RELATED QUESTIONS
write the polynomial equation of degree 4 with leading coefficient 1 that has roots at... (answered by Edwin McCravy)
Write the polynomial equation of degree 4 with leading coefficient 1 that has roots at... (answered by Alan3354)
What is the polynomial function f of least degree that has rational coefficients, a... (answered by richard1234)
A cubic polynomial equation, P(x)=0, has real coefficients and a leading coefficient of... (answered by josgarithmetic)
Which of the following is a polynomial with roots 2, –2i, and 2i ?
(answered by ewatrrr)
Two roots of a cubic polynomial equation with real coefficients are –3 and –4i. If the... (answered by srinivas.g)
Find a polynomial of degree 4 with integer coefficients has zeros 1+i and i, with... (answered by Fombitz)
Write the quadratic equation whose roots are
−2
and
6
, and whose leading... (answered by josgarithmetic)
Write the quadratic equation whose roots are -3 and 6, and whose leading coefficient is 2 (answered by josgarithmetic)