1. Chp 9 homework check 1.9.1 # 36 2.9.2 #17 3.9.3 #17 4.9.4 #13 5.9.5 #11 6.9.6 #7 (pg. 489) 7.9.7 #10 (pg. 495) 8.Chp review #8 9.Chp review #18 10.Chp review #9 1.2.99, -1.49 2.+4, -4 3.(-7/4, -217/8) x = -7/4 4.64 5.None 6.Is 7.Exponential 8.-0.55 9.(0,0) 10.+12, -12

2. Collect the like terms & simplify 1) 3x + 4x 2 -2x + 6x 2 – 4 = 2) 3x 3 + 4x 4 – 2x 4 + x 3 + 6 – x 2 = 3) 4x + 3x -2 – 5x + 8 = Answers 1.10x 2 + x – 4 = 2.2x 4 + 4x 3 – x 2 + 6 = 3.2x + 6

4. Did you know that in the English language no words rhyme with month, orange, silver, or purple ? Warm-up There are 6 books on a reading list. Students must read 3 of the books on the list. In how many different ways can a student select 3 books?

5. 10.1 +/- polynomials A polynomial is an expression that has one or more terms in the form of ax n. ax n coefficient variable Exponent (optional) Has to be a whole #

6. 3 main types of polynomials Monomial – has 1 term –Examples:3x 2 or 2y or 8 Binomial – has 2 terms –Examples:3x + 4 or x 3 – 6 Trinomial – has 3 terms –Example:-3x 2 + 4x – 14 Remember – terms are separated by an addition on subtraction sign The degree of a polynomial is the highest exponent in the expression Name the terms of the polynomials

7. Standard form Polynomials are in STANDARD FORM when the terms are written so that the powers are in decreasing order from left to right. Mixed polynomial 3x + 4x 3 – 2x 2 + 5 Standard form 4x 3 – 2x 2 + 3x + 5 Write all polynomials in Standard form

8. Adding/subtracting polynomials Add/subtract polynomials by simply collecting their like-terms. Using a vertical format is the easiest way. When adding – –line up the like terms vertically. –Add straight down. When subtracting – –Remember subtracting is the same as adding the opposite –Change the problem to addition & distribute the subtraction sign –Line up the like terms vertically –Add straight down

9. Check homework

10. 10.2 multiplying polynomials To multiply a monomial by a binomial, trinomial, etc., distribute the monomial 3(x + 2) = 3x + 6 3x(2x 2 – 5x +3) 6x 3 – 15x 2 + 9x To multiply two binomials, you will use the FOIL method – –Stands for FIRST, OUTSIDE, INSIDE LAST

11. FOIL Method (3x – 2)(2x + 7) Multiply first 2 terms 3x(2x) 6x 2 Multiply the outside terms 3x(7) 21x Multiply the inside terms -2(2x) -4x Multiply the Last terms -2(7) -14 Put them all together & simplify 6x 2 + 21x + -4x + -14 6x 2 + 17x + -14

12. (2x – 5)(4x 2 – 3x -1) Multiply the first term by each of the terms in the second factor 2x(4x 2 – 3x -1) 8x 3 – 6x 2 – 2x Multiply the 2 nd term by each of the terms in the second factor -5 (4x 2 – 3x -1) -20x 2 + 15x + 5 Add the results together & put in standard form 8x 3 + -20x 2 +-6x 2 +15x +-2x + 5 8x 3 + - 26x 2 + 13x + 5

13. practice pg. 104 & 105 in prealg wkbk