University:
High School
Course:
High School Algebra
Academic year:

2023
Views:

408

Pages:

3
Author:

BoasiaHoprh

Factoring Case #1 2x² - 14x - 36 Ask... Can I take out any thing in common? 2(x² - 7x - 18) 2(x + 2)(x - 9) Case #2 4x² + 4x - 3 What if... there is nothing in common? Do the "Ninja" move x² + 4x - 12 (x - 2/4)(x + 6/4) reduce to (x - 1/2)(x + 3/2) doesn't go in so... (2x - 1)(2x + 3) is now factored You can also use the diamonds [Diagram of a diamond shape with -18 at the top, -7x on the bottom, and -9x and 2x on the sides] -9 * 2 = -18 -9 + 2 = -7x now reverse boxes (x - 9)(x + 2) Ninja = multiply to back Un-Ninja = divide out then front Factor the polynomials. 2c² - 14c - 36 2(c² - 7c - 18) 2(c + 2)(c - 9) 4a² + 8a - 140 4(a² + 2a - 35) 4(a - 5)(a + 7) 3x² - 6x - 24 3(x² - 2x - 8) 3(x + 2)(x - 4) 2d² - 2d - 60 2(d² - d - 30) 2(d + 5)(d - 6) 5s² + 55s + 50 5(s² + 11s + 10) 5(s + 1)(s + 10) 3q² + 30q + 27 3(q² + 10q + 9) 3(q + 1)(q + 9) 12g² - 37g + 28 (g - 4/3)(g - 7/4) (3g - 4)(4g - 7) 6k² - 11k + 4 (k - 1/2)(k - 4/3) (2k - 1)(3k - 4) 9w² + 9w + 2 (w + 1/3)(w + 2/3) (3w + 1)(3w + 2) 12a² + 5a - 2 (a - 1/4)(a + 2/3) (4a - 1)(3a + 2) 15b² + 14b - 8 (b - 2/3)(b + 4/3) (3b - 2)(3b + 4) 5t² + 12t - 9 (t - 3/5)(t + 3) (5t - 3)(t + 3)