2. Objectives
1. factor the given
polynomials.
2. solves word problems
involving polynomials
3. Appreciate the value of
polynomials
3. REVIEW
Recall your previous lesson about special products among polynomials, multiply the
factors in Column A then match the product to Column B.
4. Factoring
Factoring is an inverse
process of multiplication.
Through factoring, we write
polynomials in simpler form
and use it as a way of solving
the roots of an equation.
1. First determine if a common
monomial factor (Greatest Common
Factor) exists. Factor trees may be used
to find the GCF of difficult numbers. Be
aware of opposites: .
5. 2. If the problem to be factored is a binomial, see
if it fits one of the following situations
6. 2. If the problem to be factored is a binomial, see
if it fits one of the following situations
7. 2. If the problem to be factored is a binomial, see
if it fits one of the following situations
8. 2. If the problem to be factored is a binomial, see
if it fits one of the following situations
E. If none of these occur, the binomial does not factor.
9. 3. If the problem is a trinomial, check for one of the
following possibilities.
10. 3. If the problem is a trinomial, check for one of the
following possibilities.
C. If a ≠ 1, use trial and error method. (Grouping may
also be used.)
11. Advice
The factored form is usually best.
When trying to factor, follow these steps:
•"Factor out" any common terms
•See if it fits any of the identities, plus any more you
may know
•Keep going till you can't factor any more