1Factor out the greatest common factor 4u4v2 w 3v4v2 w 2

1)Factor out the greatest common factor. 4u(4v2 + w) + 3v(4v2 + w)
2) Factor the polynomial. (If the polynomial is prime, enter PRIME.) 4u2 + 17uv 15v2
3)Factor the polynomial. (If the polynomial is prime, enter PRIME.) x2 3x 1
4)Factor the polynomial. (If the polynomial is prime, enter PRIME.) u2 + 4v2 5)
5)Factor the polynomial. (If the polynomial is prime, enter PRIME.) 3m³ + 3m² 60m
6) Factor the polynomial. (If the polynomial is prime, enter PRIME.)

10uv² + 25uv 10v

7) Factor the polynomial. (If the polynomial is prime, enter PRIME.)

27m³ + 1

8) Factor the polynomial. (If the polynomial is prime, enter PRIME.)

8m³ 27

9) Factor the polynomial. (If the polynomial is prime, enter PRIME.)

x³ + 27y³

10) Factor the polynomial. (If the polynomial is prime, enter PRIME.)

u⁴ u²v² 20v⁴

11) Factor the polynomial. (If the polynomial is prime, enter PRIME.)

ax² (1 + ab)xy + by<sup>2

12)</sup> Factor the polynomial. (If the polynomial is prime, enter PRIME.)

125r³ 27s<sup>3

13)</sup>Factor the polynomial. (If the polynomial is prime, enter PRIME.)

5u⁴ 40u² + 5u² 40

14) Factor the polynomial. (If the polynomial is prime, enter PRIME.)

a² b² + 5a + 5b

¹³⁾

¹⁴⁾

Solution

1. 4u(4v² + w) + 3v(4v² + w)

Here the common term is 4v²+w

Therefore greatest common factor =4v²+w

2. 4u² + 17uv 15v²

   4u²+20uv -3uv-15v²

4u(u+5v)-3v(u+5v)

(4u-3v)(u+5v)