let’s get together! combining like terms in polynomials

20

Upload: wylie

Post on 21-Jan-2016

64 views

Category:

Documents


2 download

DESCRIPTION

Let’s Get Together! Combining Like Terms in Polynomials. Unit 9 – Polynomials and Quadratics. During this unit, we will look at: 1.)Combining like terms in polynomials 2.)Using the distributive property and combining like terms 3.)Identify the greatest common factor (GCF) of polynomials - PowerPoint PPT Presentation

TRANSCRIPT

Page 1: Let’s Get Together! Combining Like Terms in Polynomials
Page 2: Let’s Get Together! Combining Like Terms in Polynomials

During this unit, we will look at:

1.) Combining like terms in polynomials2.) Using the distributive property and combining like terms3.) Identify the greatest common factor (GCF) of

polynomials4.) Factor out the GCF of polynomials5.) FOIL6.) Multiply monomials7.) Reverse FOIL and factoring8.) Solve quadratic equations using radicals9.) Solve quadratic equations using factoring10.) Solve quadratic equations using the quadratic formula

Page 3: Let’s Get Together! Combining Like Terms in Polynomials

SWBAT identify monomials. SWBAT identify polynomials. SWBAT combine like terms in polynomial

expressions.

Page 4: Let’s Get Together! Combining Like Terms in Polynomials

Okay, so Okay, so what is a what is a

pal-lee-no-pal-lee-no-me-al?me-al?

Page 5: Let’s Get Together! Combining Like Terms in Polynomials

YAY!YAY!

DonDon’’t worry class! t worry class! Ms. Ramsel will Ms. Ramsel will

help you out with help you out with everything you everything you need to know.need to know.

Page 6: Let’s Get Together! Combining Like Terms in Polynomials

Monomial – a ______________with just _____ term

Page 7: Let’s Get Together! Combining Like Terms in Polynomials

Polynomial – An _________________ made with _______________, ______________, and ________________, which are combined using _____________, __________________, and ______________________, but NOT _____________

Page 8: Let’s Get Together! Combining Like Terms in Polynomials

Remember that a constant is a term that has no variable!

Page 9: Let’s Get Together! Combining Like Terms in Polynomials

Today, we are Today, we are going to going to

combine two combine two polynomials. polynomials. It will be fun!It will be fun!

Page 10: Let’s Get Together! Combining Like Terms in Polynomials

1.) Remove the parenthesis (watch negatives!)

2.) Identify the like terms

3.) Identify the symbol between the like terms

4.) Combine the coefficients ONLY!

Page 11: Let’s Get Together! Combining Like Terms in Polynomials

Like Terms have the …

Like 3x and 15x or 3xy2 and 9xy2

Page 12: Let’s Get Together! Combining Like Terms in Polynomials

)42()649( 22 xxxx

42649 22 xxxx

46249 22 xxxxKNOCK KNOCK!

10210 2 xx

Page 13: Let’s Get Together! Combining Like Terms in Polynomials

)25()256( 2 aaa

25256 2 aaa

22556 2 aaaKNOCK KNOCK!

006 2 aa26a

Page 14: Let’s Get Together! Combining Like Terms in Polynomials

LetLet’’s do s do some some

whiteboard whiteboard problems! problems!

What?!What?!

Page 15: Let’s Get Together! Combining Like Terms in Polynomials

)35(8 cc

Page 16: Let’s Get Together! Combining Like Terms in Polynomials

)126()134( 22 bbbb

Page 17: Let’s Get Together! Combining Like Terms in Polynomials

)35()152( 22 xxx

Page 18: Let’s Get Together! Combining Like Terms in Polynomials

)27(6 xx

Page 19: Let’s Get Together! Combining Like Terms in Polynomials

(2x³+5x²4x+8) – (2x³+3x+8)

Page 20: Let’s Get Together! Combining Like Terms in Polynomials

Please Ms. Please Ms. Ramsel can I Ramsel can I

have some have some homework?homework?