Question: A polynomial P of degree 3 with integer coefficients has zeroes x =-2, x =4, and x =3. Use the factor theorem to write the

  1. A polynomialPof degree 3 with integer coefficients has zeroesx=-2,x=4, andx=3. Use the factor theorem to write the polynomial in factored form.
  2. Use the factor theorem to find the polynomial of degree 3 having zeroesx=-4,x=1-i, andx=1+i. Assume a lead coefficient of 1.
  3. Find a quartic polynomial (degree 4) with real coefficients having rootsx=4iandx=i3

. Assume a leading coefficient of 1.

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