Determine the quotient, q(x), and remainder, r(x) when

f(x) = 12x4 + 24x3 + 39x2 + 31x + 21

is divided by g(x) = 6x2 + 3x + 6 .

To diagonalize an nxn matrix a means to find an invertible matrix p and a diagonal matrix d such that a pdp d p ap or [1 3 dh epap 3 let a=-3 -5 -3 3 3 1 step 1: find the eigenvalues of matrix a "2's" step 2: find the corresponding eigenvectors of a step 3: createp from eigenvectors in step 2 step 4 create d with matching eigenvalues.