question 1

Write a quadratic function h whose zeros are -7 and -5. h (x ) = X 5 ?Write a quadratic function f whose zeros are 2 and 7. f (x) = X 5 ?Find a polynomial f() of degree 3 that has the following zeros. 9, 8, -1 Leave your answer in factored form. f (x) = X 5Use the remainder theorem to find P (2) for P (x) = x-4x--5. Specifically, give the quotient and the remainder for the associated division and the value of P (2). Quotient = 10 X 5 ? Remainder = P (2) =Use the rational zeros theorem to list all possible rational zeros of the following. g(x)=1+ TIE + 4x3 4]: Be sure that no value in your list appears more than once. Use Descartes' Rule of Signs to determine the possible numbers of positive and negative real zeros. ch) =3x3+4x2+9x+3 If there is more than one possibilitv, separate them with commas. {a} Possible number[s]| of positive real zeros: (b) Possible number|[s} of negative real zeros: Use Desoartes' Rule of Signs to determine the possible numbers of positive and negative real zeros. q (x) = 5x45x34x29x+'? If there is more than one possibility, separate them with commas. (a) Possible number[s]| of positive real zeros: [b] Possible number[s} of negative real zeros: Find a polynomial f(x) of degree 4 that has the following zeros. 0, 2 (multiplicity 2), - 8 Leave your answer in factored form. f(x) = X 5 ?The function below has at least one rational zero. Use this fact to find all zeros of the function. gfx) =4x31x2+9x+9 If there is more than one zero, separate them with commas. Write exact values, not clecimal approximations. The function below has at least one rational zero. Use this fact to nd all zeros of the function. x) =x331x2+4x+5 If there is more than one zero, separate them with commas. Write exact values, not decimal approximations