1. Warm-Up Section8.1 (Add to Separate Piece of Paper)
Write the prime factorization of each number.
1. 25
2. 35
Find the GCF of each pair of numbers.
3. 13 and 67
4. 8 and 36 52
5  7
None 4

2. Section 8.2 Factor each polynomial. Check your answer. 1. 16x + 20x3
2. 4m4 – 12m2 + 8m
Factor each expression.
3. 7k(k – 3) + 4(k – 3)
4. 3y(2y + 3) – 5(2y + 3)
4x(4 + 5x2)
4m(m3 – 3m + 2)
(k – 3)(7k + 4)
(2y + 3)(3y – 5)

3. Factor each polynomial by grouping. Check your answer.
5. 2x3 + x2 – 6x – 3
6. 7p4 – 2p p – 18
(2x + 1)(x2 – 3)
(7p – 2)(p3 + 9)

4. Section 8.3 Factor each trinomial. 1. x2 – 11x + 30 2. x2 + 10x + 9

5. Section 8.4 Factor each trinomial. Check your answer. 1. 5x2 + 17x + 6

6. Tell whether the polynomial is completely factored. If not, factor it.
Section 8.5
Tell whether the polynomial is completely factored. If not, factor it.
1. (x + 3)(5x + 10) x2(x2 + 9)
completely factored
no; 5(x+ 3)(x + 2)
Factor each polynomial completely. Check your answer.
3. x3 + 4x2 + 3x x2 + 16x – 48
4(x + 6)(x – 2)
(x + 4)(x2 + 3)
5. 18x2 – 3x – 3
6. 18x2 – 50y2
3(3x + 1)(2x – 1)
2(3x + 5y)(3x – 5y)