X^2+bx+c trinomial math flashcards

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1. x^2+bx+c

Steps to factor trinomials

Use example below:

X^2+11x+18
• 1. T chart
• 2. Factor "c" c goes under products
• Find all factors of "c" or in this case, 18(1,18,2,9,3,6)
• 3. Add factor pairs together in chart, (1+18,2+9,3+6)when they add up to "b"(in this case, 11), you have your two numbers, end up with (x+2)(x+9) can be reversed due to communitive property of multiplication
2. N^2-6n+8
• 8"c":(-1)(-8) added together is -9
• (-2)(-4) added together is -6 (hint: this is right)
• These are the only combinations. Note that -2 added to -4 is equal to -6, which is the "b."
• So, your answer will look like:
• (x+(-2))(x+(-4)) Or, when simplified, (x-2)(x-4)
3. X^2+3x=18
Solve for x
• X^2+3x-18=0
• Factor into (x-3)(x+6)=0
• So x is equal to 3 or -6
 Author: waxguy ID: 186243 Card Set: X^2+bx+c trinomial math flashcards Updated: 2012-11-30 16:20:41 Tags: bx math flashcards Folders: Description: X^2+bx+c math flashcards Show Answers: