Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special formula for 3x 3 determinants. [note: finding the characteristic polynomial of a 3 x 3 matrix is not easy to do with just row operations, because the variable a is involved.] 0 2 4 2 0 3 4 3 0 the characteristic polynomial is th t aien ueing .oriabl

i am unable to solve this problem

step-by-step explanation:

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!

p

step-by-step explanation: