41) Find the complex zeros of the following polynomial function. Write f in factored form.

f(x)=x4+2x3+x2+8x12

The complex zeros of f are

40) Use the given zero to find the remaining zeros of the function.

f (x)=x37x2+36x252;zero: 6i

Enter the remaining zeros of f.

39) Information is given about a polynomial f (x) whose coefficients are real numbers. Find the remaining zeros of f.

Degree4; zeros: i,9+i

Enter the remaining zeros of f.

38) Find the sum and product of the complex numbers 25i and 2+7i

37) One solution of the equation x321x2+39x2=0 is 2. Find the sum of the remaining solutions.

35) Use the intermediate value theorem to show that the polynomial function has a zero in the given interval.

f (x)=x5x4+8x39x215x+16; [1.3,1.5]

Find the value of f (1.3).

Find the value of f (1.5).

34) Find bounds on the real zeros of the polynomial function.

f(x)=x4120x2121

Find the lower and upper bound

33) Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers.

f(x)=9x4+10x3+19x2+20x+2