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4.1 & 4.2 Random fact of the day: A spec of dust in the air is halfway between the size of the earth and an atomic particle.

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Presentation on theme: "4.1 & 4.2 Random fact of the day: A spec of dust in the air is halfway between the size of the earth and an atomic particle."— Presentation transcript:

1 4.1 & 4.2 Random fact of the day: A spec of dust in the air is halfway between the size of the earth and an atomic particle

2 This chapter deals with: monomials binomials trinomials all of which are polynomials

3 What do these words mean? monomial binomial trinomial all of which are polynomials

4 Monomial – something single Binomial – something paired Trinomial – something in a group of three all of which are polynomials

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6 Monomial – something single Binomial – something paired Trinomial – something in a group of three all of which are polynomials- many things

7 So how about -nomials?

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9 Monomial – Single term expression Binomial – Two term expression Trinomial – Three term expression all of which are polynomials- an expression containing multiple monomials

10 Monomial examples

11 Binomial examples

12 Trinomial examples

13 All of these are polynomial examples

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15 Follow along using your “Exponent Review” Sheet. Fill in where appropriate:

16 What happens when I multiply like terms with exponents?

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18 What happens when I have this monomial raised to an exponent?

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24 What happens here?

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32 Tell me something good

33 Do work?

34 4.3 Random fact of the day: The 7-Eleven Extreme Gulp is 50% bigger than the volume of the human stomach.

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36 What is it?

37 First Outer Inner Last

38 Ok, so why do we use this?

39 Perform this operation: (3)(2)

40 Perform this operation: (3)(2+2)

41 Perform this operation: (3)(2+2) What property are you using here?

42 Perform this operation: (3)(2+x)

43 Lastly, perform this operation: (3+x)(2+x)

44 You are in Home Depot to buy a new pool.

45 You want the length to be 4 feet longer than the width. You also plan on creating a 3 foot wide walkway on each side.

46 If you have exactly 520 square feet of wood for the deck, how big should the pool be?

47 You want the length to be 4 feet longer than the width. You also plan on creating a 3 foot wide walkway on each side. If you have exactly 520 square feet of wood for the deck, how big should the pool be?

48 You want the length to be 4 feet longer than the width. You also plan on creating a 3 foot wide walkway on each side. If you have exactly 520 square feet of wood for the deck, how big should the pool be?

49 You want the length to be 4 feet longer than the width. You also plan on creating a 3 foot wide walkway on each side. If you have exactly 520 square feet of wood for the deck, how big should the pool be?

50  Area of pool and deck – Area of pool = area of deck

51 (x+10)(x+6)-x(x+4)=520 ft 2

52  Area of pool + deck – Area of pool = area of deck (x+10)(x+6)-x(x+4)=520 ft 2 (x+10)(x+6)-x 2 -4x =520 ft 2 x 2 +16x+60-x 2 -4x =520 ft 2 12x+60=520 12x=460 x=38

53  Area of pool + deck – Area of pool = area of deck (x+4+6)(x+6)-x(x+4)=520 ft 2 (x+10)(x+6)-x 2 -4x =520 ft 2 x 2 +16x+60-x 2 -4x =520 ft 2 12x+60=520 12x=460 x=38 W=38 ft, L=42 ft

54 Home Depot does not have a 38x42 foot pool available. Which of the following available pools is the most logical option? HDYK???

55 Tell me something good

56 Do work?


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