Question

Find a polynomial function P of the lowest possible​ degree, having real​ coefficients, a leading coefficient of​ 1, and with the given zeros.
2plus2i​, minus1​, and 2
if r is a root (zero) , then x-r is a factor

complex roots (containing i) occur in conjugate pairs
... if 2+2i is a root , then 2-2i is also

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

multiply the factors to find the 4th order function

Related Questions

Find the polynomial function P of the lowest possible degree, having real coefficients, with the giv... A polynomial f(x) with real coefficients and leading coefficient 1 has zeros 6 + 4i, -5 + i and degr... A polynomial f(x) with real coefficients and leading coefficient 1 has the given zeros and degree. E... Form a polynomial (f) with real coefficients having the given degree and zeros. Degree​ 5; ​ zeros...