To factor trinomials of the form ax^2 + bx + c, look at the signs of the coefficients and find two factors whose product equals c. The factors must be the same sign as b or opposite signs. Examples provided factor 6x^2 + 7x - 24 as (6x + 6)(x - 4) and 4x^2 - 12x - 7 as (4x - 7)(x + 1). Practice problems are assigned.

1. 7.4 Factoring Trinomials: ax2Objective: To factor trinomials of the form ax2 + bx + cFrameworks: 10.P.5

2. What effect does multiplying the first term by a constant have?Factor: 3x2 - 14x + 8Look at negatives & positives . . .Factors of 8 must both be _________?(3x - )(x - )Try 4 and 2Try 2 and 4

3. Factor 4x2 - x – 5 (2x - 5)(2x + 1) ??? (4x - 5)(x + 1) ???

4. Factor 6x2 + 7x – 24 (6x + 6)(x - 4) ???(6x - 4)(x + 6) ???(2x - 3)(3x + 8) ???

5. Factor 4x2 - 12x - 7

6. Factor 10x2 - 19x + 6

7. Factor 2x2 + 3x + 5 (2x + 5)(x + 5) ???(2x + 5)(x + 1) ???A polynomial that cannot be factored into polynomials of a lower degree is said to be an irreducible polynomial.

8. Do p. 257 1-18