The polynomial `f(x)=x^4+a x^3+b x^3+c x+d` has real coefficients and `f(2i)=f(2+i)=0.` Find the value of `(a+b+c+d)dot`

The polynomial f(x)=x^4+a x^3+b x^2+c x+d has real coefficients and f(2i)=f(2+i)=0. Find the value of (a+b+c+d)dot

The polynomial f(x)=x^4+a x^3+b x^2+c x+d has real coefficients and f(2i)=f(2+i)=0. Find the value of (a+b+c+d)dot

The polynomial f(x)=x^(4)+ax^(3)+bx^(3)+cx+d has real coefficients and f(2i)=f(2+i)=0. Find the value of (a+b+c+d)

Let f(x)=ax^(3)+bx^(2)+cx+d be a cubic polynomial with real coefficients satisfying f(i)=0 and f(1+i)=5. Find the value of a^(2)+b^(2)+c^(2)+d^(2)

Let f(x) = x^4 + ax^3 + bx^2 + cx + d be a polynomial with real coefficients and real roots. If |f(i)|=1where i=sqrt(-1) , then the value of a +b+c+d is

Let f(x) = x^4 + ax^3 + bx^2 + cx + d be a polynomial with real coefficients and real roots. If |f(i)|=1where i=sqrt(-1), then the value of a +b+c+d is

Let f(x) = x^4 + ax^3 + bx^2 + cx + d be a polynomial with real coefficients and real roots. If |f(i)|=1where i=sqrt(-1) , then the value of a +b+c+d is

Let f(x) = x^4 + ax^3 + bx^2 + cx + d be a polynomial with real coefficients and real roots. If |f(i)|=1where i=sqrt(-1) , then the value of a +b+c+d is

A nonzero polynomial with real coefficient has the property that f(x)=f'(x)f(x) .If a is the leading coefficient of f(x), then the value of (1)/(2a) is