Polynomials 6.16 Factor Trinomials Coefficient Greater Than 1.notebook
Factoring Trinomial Equations
Coefficient of a greater than 1
Polynomials
• I can factor trinomials in the form ax2 + bx + c
TEKs
10.E ­ Factor, if possible, trinomials with real factors in the form ax² + bx + c, including perfect square trinomials of degree two answer
Title Page
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
{1, 3}
{1, 4}
{­1, ­9}
{­1, 2}
{­1, 5}
{6}
{­8, 1}
{2, 7}
{­1, 9}
{2, 3}
{2, 9}
{3, 5}
Warm Up
13. {­12, 2}
Practice Answers
14. {6, 12}
15. {2, 8}
16. 3 seconds
17. 2 seconds
18. at 10 seconds and at 90 seconds
Maintain Your Skills
1. C
2. D
Homework Answers
Practice Worksheet
Math Humor
Introduction
1
Polynomials 6.16 Factor Trinomials Coefficient Greater Than 1.notebook
_____ Factoring Trinomials
Date
•
1. What is a prime polynomial?
•
trinomial can not be written as a product of two polynomials
greatest common factor is 1
2. What if coefficient of x2 is greater than 1?
guess & check
chug & plug
trial & error
Notes
3. What if trinomial has a common factor?
ax2 + bx + c
2x2 + 5x ­ 2
•
factor the first term
•
factor the last term
•
FOIL to check
Notes
•
when a, b & c have GCF greater than 1
•
factor out GCF first
Find a friend and tell them what a prime polynomial is.
2x2 + 14x + 24
2(x2 + 7x + 12)
2(x+3)(x+4)
Notes
Find a Friend
Examples
Automatically cheek­kiss every new person you meet....
Factor the trinomial. If it cannot be factored, write prime.
1. 3y 2 + 10y + 8
automatically slap them?
answer
Would You Rather?
(3y+4)(y+2)
Examples
2
Polynomials 6.16 Factor Trinomials Coefficient Greater Than 1.notebook
Factor the trinomial. If it cannot be factored, write prime.
Factor the trinomial. If it cannot be factored, write prime.
2. 3c 2 ­ 2c ­ 5
3. 3x 2 + 24x + 45
Don't forget...
GCF > 1
answer
(3c­5)(c+1)
Examples
answer
3(x+3)(x+5)
Examples
Factor the trinomial. If it cannot be factored, write prime.
Factor the trinomial. If it cannot be factored, write prime.
4. 4x2 + 4x ­ 63
2x 2 + 5x ­ 2
5. answer
(2x­7)(2x+9)
Examples
answer
PRIME POLYNOMIAL
Examples
Critical Thinking
What's the GCF?
Find all the values of k so that each trinomial can be factored as two binomials using integers. 2x2 + kx + 12
3x2 + 6x + 9 2x2 + 8x + 2 3x2 + 3x + 12
GCF = 3 GCF = 3 GCF = 2 4x2 + 8x + 12 6x2 + 3x + 24 4x2 + 12x + 6
GCF = 2 GCF = 3 GCF = 4 answer
Application
+ 25, +14, +11, +10
Activity
3
Polynomials 6.16 Factor Trinomials Coefficient Greater Than 1.notebook
Closing Questions
What does FOIL stand for? First, Outside, Inside, Last
What do you look for first thing when looking at trinomial? GCF
Practice
Factor Trinomials
(Coefficient Greater Than 1)
Homework
Closing Questions
4