Algebra I Chapter 8/9 Part II Warm-Ups Section 8-5 WU, Day 1 Find the discriminant of the equation and use it to determine how many solutions the equation has. (Remember the discriminant is found using 2 b - 4ac ) 2 1) x +8x +12 2) x -12x + 36 2 3) -2x 2 + x -8 Section 8-5 WU, Day 2 Factor out the greatest common factor 1) -4x 5 +8x 3 -16x 2 2) a 7b3c6 + a 4b3c5 - a3b2 c2 Section 8-5 WU, Day 3 Factor by grouping 1) np + 2n + 8p + 16 2) xy – 7x +7y – 49 Section 8-6 WU, Day 1 Solve using Zero Product Property 1) 3k(k + 10) = 0 2) Factor first! 20 p -15p = 0 2 Section 8-6 WU, Day 2 Factor into 2 binomials 1) x 2 -15x + 50 2) x 2 - 2x - 35 Section 8-7 WU, Day 1 Solve by factoring. Factor into 2 binomials, then set each piece equal to zero and solve. Make sure initial equation equals zero. 1) x 2 + x - 20 = 0 2) x 2 - 6x = 27 Section 8-7 WU, Day 2 Factor using the First/Last method. 1) 3x 2 +17x +10 2) 2x - 3x - 9 2 Section 9-2 WU Factor completely. Factor out a GCF first, then factor the remaining trinomial into 2 binomials. 1) 2x 2 + 20x + 32 2) 3x 2 -12x - 36 Section 9-3 WU, Day 1 Estimate the solutions to the quadratics using the picture of their graphs. 1) 2) Section 9-3 WU, Day 2 Graph the following quadratic (sketch a grid) and describe the change from the parent function. g(x) = (x + 5) - 4 2