### Day Problems

Find each square.

1. (c + 1) 2 2. (6x – 8) 2 • Find each product.

3. (r + 4)(r – 4) 4. (y + 12)(y – 12) • Find each square.

5. (5p – 6q) 2

9.5 Factoring Trinomials of the Type x 2 + bx + c • Factoring x 2 + bx + c.

• Factor x 2 + 7x + 12.

Find the factors of 12. Identify the pair that has a sum of 7.

Factors of 12 1 and 12 2 and 6 3 and 4 x 2 + 7x + 12 = (x + 3)(x + 4).

Sum of Factors 13 8 7 ****

Factoring x 2 – bx + c.

• Factor d 2 – 17d + 42.

Find the factors of 42. Identify the pair that has a sum of -17.

Factors of 42 Sum of Factors -1 and -42 -2 and -21 -3 and -14 d 2 – 17d + 42 = (d – 3)(d – 14).

-43 -23 -17 ****

Factoring Trinomials with a Negative C • Factor m 2 + 6m – 27.

Find the factors of -27. Identify the pair that has a sum of 6.

Factors of -27 Sum of Factors 1 and -27 27 and -1 3 and -9 9 and -3 m 2 + 6m – 27 = (m – 3)(m + 9).

-26 26 -6 6

Factoring Trinomials with a Negative C • Factor p 2 – 3p – 18.

Find the factors of -18. Identify the pair that has a sum of -3.

Factors of -18 Sum of Factors 1 and -18 18 and -1 3 and -6 -17 17 -3 p 2 – 3p – 18 = (p – 6)(p + 3).

## More Practice!!!!

• Textbook – p. 483 #6 – 16 even, 22 – 28 even.