Algebra and General Mathematics: Factoring
(Last Updated On: February 5, 2020)
Factoring is the process of writing polynomial as a product.
COMMON MONOMIAL FACTOR
cx + cy = c(x + y) FACTORING SPECIAL POLYNOMIAL FORMS
Difference of Two Squares
x2 – y2 = (x + y) (x – y)
Perfect Square Trinomial x2 + 2xy + y2 = (x + y)2
x2 – 2xy + y2 = (x – y)2
Sum or Difference of Two Cubes
x3 + y3 = (x + y) (x2 – xy + y2)
x3 – y3 = (x – y) (x2 + xy + y2) OTHER TRINOMIALS
x2 + (a + b)x + ab = (x + a) (x + b) acx2 + (ad +bc)x + bd = (ax + b) (cx + d)
FACTORING BY GROUPING
ac + bc + ad + bd = c(a + b) + d(a + b) = (a + b) (c + d)
FACTORING (x2 ± y2)
x4 – y4 = (x – y) (x + y) (x2 + y2) x5 + y5 = (x + y) (x4 – x3y + x2y2 – xy3 + y4)
x5 – y5 = (x – y) (x4 + x3y + x2y2 + xy3 + y4)
x6 – y6 = (x – y) (x + y) (x2 + xy + y2) (x2 – xy + y2)
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