Find a degree 3 polynomial whose coefficient of x^(3) is equal to 1. The zeros of...

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Find a degree 3 polynomial whose coefficient of x^(3) is equal to 1. The zeros of this polynomial are 33, -41, and 4i. Simplify your answer so that it has only real numbers as coefficients. 2. The polynomialf(x)=7x^(3)-3x^(2)+175x-75 has 5i as a root. Give all of the roots of f in a comma-separated list, including the given one. 3. Find all zeros of the polynomial P(x)=x^(4)-256 4. Find all of the zeros of P(x)=x^(5)+18x (3)-+81x and list them below with zeros repeated according to their multiplicity. 5. Give all the zeros of P(x)=x^(3)-5x^(2)+7x+12 6. Find a polynomial with integer coefficients, with leading coefficient 1, degree 5, zeros I and 1-i, and pass through the origin. 7. List the zeros of P(x)=x^(2)+3x+3 where you repeat each zero according to its multiplicity. 8. Let f(x)=x^(6)-20x^(5)+139x^(4)-656x (3)-657x^(2)+78084x-433755 Given that 91 and 9-2i are roots of f(x), find all the other roots and give them in a comma-separated list. Find a degree 3 polynomial whose coefficient of x^(3) is equal to 1. The zeros of this polynomial are 33, -41, and 4i. Simplify your answer so that it has only real numbers as coefficients. 2. The polynomialf(x)=7x^(3)-3x^(2)+175x-75 has 5i as a root. Give all of the roots of f in a comma-separated list, including the given one. 3. Find all zeros of the polynomial P(x)=x^(4)-256 4. Find all of the zeros of P(x)=x^(5)+18x (3)-+81x and list them below with zeros repeated according to their multiplicity. 5. Give all the zeros of P(x)=x^(3)-5x^(2)+7x+12 6. Find a polynomial with integer coefficients, with leading coefficient 1, degree 5, zeros I and 1-i, and pass through the origin. 7. List the zeros of P(x)=x^(2)+3x+3 where you repeat each zero according to its multiplicity. 8. Let f(x)=x^(6)-20x^(5)+139x^(4)-656x (3)-657x^(2)+78084x-433755 Given that 91 and 9-2i are roots of f(x), find all the other roots and give them in a comma-separated list.