6: Factoring
( \newcommand{\kernel}{\mathrm{null}\,}\)
- 6.1: The Greatest Common Factor
- We begin this section with definitions of factors and divisors. Because 24=2⋅12 , both 2 and 12 are factors of 24 . However, note that 2 is also a divisor of 24 , because when you divide 24 by 2 you get 12 , with a remainder of zero. Similarly, 12 is also a divisor of 24 , because when you divide 24 by 12 you get 2 , with a remainder of zero.
- 6.2: Solving Nonlinear Equations
- We begin by introducing a property that will be used extensively in this and future sections.
- 6.3: Factoring ax² + bx + c when a =1
- In this section we concentrate on learning how to factor trinomials having the form ax² + bx + c when a=1 . The first task is to make sure that everyone can properly identify the coefficients a, b, and c.
- 6.4: Factoring ax² + bx + c when a≠1
- In this section we continue to factor trinomials of the form ax2+bx+c . In the last section, all of our examples had a=1 , and we were able to “Drop in place” our circled integer pair. However, in this section, a≠1 , and we’ll soon see that we will not be able to use the “Drop in place” technique. However, readers will be pleased to learn that the ac -method will still apply.
- 6.5: Factoring Special Forms
- In this section we revisit two special product forms that we learned in Chapter 5, the first of which was squaring a binomial.