Math 10F&PC H. Chapter 3 Factors and Products 3.4...
Transcript of Math 10F&PC H. Chapter 3 Factors and Products 3.4...
Name: ____________________ Math 10F&PC H. Date: _________________
Chapter 3 Factors and Products 3.4 Math Lab: Modelling Trinomials as Binomial Products Focus: Explore trinomials with algebra tiles.
We can use the distributive property and an area model to show the product of two 2-digit numbers.
We can use the same process to show the product of two binomials.
Try This: Use only positive algebra tiles. This rectangle represents the trinomial _________________.
Write each side length on the rectangle. __________________, ____________________
Example 1:
Sketch as many and as you need to complete this rectangle to show the
trinomial x2 + 3x + 2.
Write as a product _____________, _______________
Example 2:
Sketch as many and as you need to complete this rectangle to show the
trinomial x2 + 4x + 4.
Write as a product _____________, _______________
Part B This rectangle represents the trinomial _____________ Write each side length on the rectangle.
Write as a product: ( __________ ).( __________ )
Example 3:
Sketch as many and as you need to complete this rectangle to show the
trinomial 2x2 + 7x + 3
Write as a product: ( __________ ).( __________ )
Example 4:
Sketch as many and as you need to complete this rectangle to show the
trinomial 2x2 + 4x + 2
Write as a product: ( __________ ).( __________ )
Example 5: For each set of algebra tiles below: • Write the trinomial. • Write the trinomial as a product.
a) b) c)
The trinomial is:
a) __________________ b) ___________________ c) _____________________
The Product is:
a) __________________ b) ___________________ c) _____________________
Complete Assess your Understanding #’s 1-4 on Pg. 158
Name: ____________________ Math 10F&PC H. Date: _________________
Chapter 3 Factors and Products
Factoring by Grouping - Assignment #4
Ex.
2
2
3 3
( 3 ) ( 3 )
( 3) ( 3)
( 3)( )
x x xy y
x x xy y
x x y x
x x y
2 2
2 2
2 2
8 16 25
( 8 16) 25
( 4) 25
( 4 5 )( 4 5 )
( 5 4)( 5 4)
a a b
a a b
a b
a b a b
or a b a b
Factor each COMPLETELY by “GROUPING”. [SHOW ALL STEPS & CIRCLE ANSWERS!]
1. 3 2 1x x x 2. 5 10 2am a bm b
3. 25 10 3 6m mn m n 4. 22 6 3 9a ab a b
5. 2 2ax bx axy bxy 6. 2 3 6ax x a
7. 856535 yxxy = 8. bdbcdaca 18304575 22
9. zmnncmcmnnzm 2222 2512020150 10. abaab 7216860140 2
11. 3 2a a b a b 12. xyyxx 123164 32
13. 2 22 1 9y y t 14. 2 24 4 36a ab b
15. 2 2 4 4x y y x 16. 1216 22 aabba
17. 2 21 2n nx x 18. 22 2n c cn n
19. 4 32 2x x x 20. 3 4125 125y y y
21. 2 2 2 24 4 6 9a ab b c cd d 22. 33336 88 yxyxx
Bonus: 7 3 41x x x