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

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)

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

Let f (x) =x ^(2) + ax +b and g (x) =x ^(2) +cx+d be two quadratic polynomials with real coefficients and satisfy ac =2 (b+d). Then which of the following is (are) correct ?