UNIT 6-OBJECTIVE 4- FACTORING TRINOMIALS

`	An algebraic expression that has three terms is called a trinomial, not all trinomials can be factorized using real numbers. 	The general quadratic trinomial is of the form:	     where a, b, c represent real numbers.	Examples when a=1	1. 	You are looking for two numbers that multiply together that equal 10 and add together to equal 3. The numbers would be 5 and 2 because	(-5)(2)= -10	-5+2= -3	The solution would be: 	2.	You are looking for two numbers that multiply together that equal 16 and add together to equal 10. The numbers would be 8 and 2 because	(8)(2)=16	(8+2)=10	The solution would be (x+8) (x+2)	Examples where a is not equal to 1	1.	You would use trial and error method or you can use graphical method. You are looking for two numbers that multiply together 	to equal 120 ((6)(-20)) and add together to equal 7. The numbers would be 15 and 8 as the coefficients for x.	   		(Notice that 15x-8x=7x)	We now apply factoring by grouping we have used in objective 3.		(We can now factor out the quantity (2x+5))		2. 	We are looking for two numbers that multiply together to equal 10 and add together to equal 13. We cannot find any numbers 	that satisfy this so we cant factor this trinomial.	3. 	We are looking for two numbers that multiply together to equal 35 and add together to equal 12. The numbers would be 7 and 	5. We can now rewrite the polynomial using 7 and 5 as the coefficient for y.	      (notice that 7y -5y = -12y)	We now apply factoring by grouping we used in objective 3.				(We can now factor out quantity (y-1))		Unit 6 Outline // Course Outline // Home Page	Copyright © 1996 by B. Chambers and P. Lowry. All Rights Reserved. `