Find the characteristic polynomial of A. Use x for the variable in your polynomial. 2 -4 8-5 0-1-109 A = 00 -1 3 00 0 -1 characteristic polynomial of A is: 0

Which of the following expressions are polynomials? (a) 2x312x+3 (b) x2123x (c) 1x2+4x+7 (d) x5+7x2x+100 (e) 8x65x3+7x33 (f) 3x4+5x215x

Write a fourth degree polynomial function with real coefficients and the given zeros. i,1i

(a) Give the general form of polynomial function P of degree n. (b) What does it mean to say that c is a zero of P? Give two equivalent conditions that tell us that c is a zero of P.