Finding Zeros and Multiplicities of Polynomials

The degree of the polynomial determines the max number of roots.

• True

• False

List the ACTUAL rational zeros of

f(x) = x³ + 7x² - 2x -14 ?

• 7, 2

• 7

• - 7

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.

• No, (x-2) is  not a factor. The remainder is zero.

• Yes, (x-2) is a factor. The remainder is zero.

• No, (x-2) is  not a factor. There is a remainder. 

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A

• B

• C

• D

Use the factored form of the function to find the zeros.  (hint: set each factor = 0)

• A

• B

• C

• D

Use the factored form of the function to find the zeros.  (hint: set each factor = 0)

• A

• B

• C

• D

Find the zeros of polynomial given one zero.

• A

• B

• C

• D

Find the zeros of the polynomial given one zero

• A

• B

• C

• D

Find ALL zeros

• A

• B

• C

• D

Find all zeros of the polynomial

• A

• B

• C

• D