A. Show that if p(n) is a polynomial of the form n3 + c2 n² + C1 n + co, then p(n) = ©(n³).

What is the fully factored form (with real coefficients) for the polynomial f(x) = æ® – 1? (Hint: 16 = 1) (x2 – 1)(x4 + æ² + 1) O (x – 1)(x + 1)(x² + x + 1)(x²2 – x + 1). O (2 – 1)* (x + 1)? O (2 – 1) (x + 1)4 O (x – 1) (x + 1)3

A quadratic polynomial y = 4x? + 7x – 3 has roots p and q. Find a quadratic g(x) = x² + ax + Bwith roots r = and O a. g(x) = x² + - O b. g(x) = x? O c. g(x) = x² + – IE O d. g(x) = a? 3 +

3 Find a polynomial of degree 4 with Zeros x = 1₁ x=2, and x=i.