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

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

expressions.

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

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

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.

Monomial – a ______________with just _____ term

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

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

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

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

1.) Remove the parenthesis (watch negatives!)

2.) Identify the like terms

3.) Identify the symbol between the like terms

4.) Combine the coefficients ONLY!

Like Terms have the …

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

)42()649( 22 xxxx

42649 22 xxxx

46249 22 xxxxKNOCK KNOCK!

10210 2 xx

)25()256( 2 aaa

25256 2 aaa

22556 2 aaaKNOCK KNOCK!

006 2 aa26a

LetLet’’s do s do some some

whiteboard whiteboard problems! problems!

What?!What?!

)35(8 cc

)126()134( 22 bbbb

)35()152( 22 xxx

)27(6 xx

(2x³+5x²4x+8) – (2x³+3x+8)

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

have some have some homework?homework?