Directions: Factor each polynomial. If the polynomial cannot be factored, write prime.

1. a^2-16b

2. m^2+8m+16

3. 3a^2b+6ab+9ab^2

4. 2r^2+3r+1

5. z3+6z^2+9z

1. For #1 I meant to put (a-4)(a-4)

2. Sorry I meant (a-4)(a+4)

3. #3, I see a common factor
3ab(a + 2 + 3b)

#4, (2r+1)(r+1)

#5 common factor
z(z^2 + 6z + 9), now I see a perfect square
= z(z+3)^2

4. 1. a^2-16b

Yes !!!

2. m^2+8m+16

8 times 8 is 64, not 16
4 times 4 is 16

3. 3a^2b+6ab+9ab^2

3ab (a + 2 + 3b)

4. 2r^2+3r+1

(2r+1)(r+1)

5. z3+6z^2+9z

z (z^2 + 6 z + 9)
z (z+3)(z+3)

5. neither of your corrections for #1 gives you back the original result if expanded.

a^2-16b does not factor, unless you meant
a^2-16b^2, then it would be (a+4b)(a-4b)

6. I did not see that b there !