Factor: 12x2 - 17x 6
Practice factoring a trinomial with a negative middle term: 12x2 - 17x 6.
Simplifying by Adding or Subtracting Common Radical Factors
A new guideline for simplifying radicals is introduced: the terms in a fully-simplified radical expression must have no common radical factors. Simplifying a radical expression by adding or subtracting common radical factors is illustrated.
Simplifying to Find a Common Radical Factor
The process of simplifying to find a common radical factor is demonstrated.
Factor: 5c2 3c - 20cd - 12d
Practice factoring: 5c2 3c - 20cd - 12d.
Factor: ax - x - 5a 5
Practice with factoring involving minus signs: ax - x - 5a 5.
Factor 7x2y2 4xy2 - 8x2y
Practice factoring: 7x2y2 4xy2 - 8x2y
Factor 21a5b7 – 7a4b6c
Practice factoring: 2la5b7 — 7a4b6c
Factor 72m3n2p5 - 48mn5p3
Practice factoring: 72m3n2p5 - 48mn5p3
Factor by Grouping
Summary of the procedure for factoring by grouping.
Factor 35x 15y - 20z
Demonstration of factoring a polynomial with three terms that share a common factor: 35x 15y - 20z.