Chp 9 homework check

1. 9.1 # 362. 9.2 #173. 9.3 #174. 9.4 #135. 9.5 #116. 9.6 #7 (pg. 489)7. 9.7 #10 (pg. 495)8. Chp review #89. Chp review #1810.Chp review #9

1. 2.99, -1.492. +4, -43. (-7/4, -217/8) x = -7/44. 645. None6. Is7. Exponential8. -0.559. (0,0)10.+12, -12

Collect the like terms & simplify1) 3x + 4x2 -2x + 6x2 – 4 = 2) 3x3 + 4x4 – 2x4 + x3 + 6 – x2 =3) 4x + 3x -2 – 5x + 8 =

Answers1. 10x2 + x – 4 =2. 2x4 + 4x3 – x2 + 6 =3. 2x + 6

Did you know that in the English language no words rhyme with

month, orange, silver, or purple?

Warm-upThere 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?

10.1 +/- polynomials

• A polynomial is an expression that has one or more terms in the form of axn.

axn

coefficientvariable

Exponent(optional)

Has to be a whole #

3 main types of polynomials

• Monomial – has 1 term– Examples: 3x2 or 2y or 8

• Binomial – has 2 terms– Examples: 3x + 4 or x3 – 6

• Trinomial – has 3 terms– Example: -3x2 + 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

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 + 4x3 – 2x2 + 5• Standard form 4x3 – 2x2 + 3x + 5

• Write all polynomials in Standard form

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

• Check homework

10.2 multiplying polynomials

• To multiply a monomial by a binomial, trinomial, etc., distribute the monomial

3(x + 2) = 3x + 63x(2x2 – 5x +3)6x3 – 15x2 + 9x

• To multiply two binomials, you will use the FOIL method –– Stands for FIRST, OUTSIDE, INSIDE LAST

FOIL Method(3x – 2)(2x + 7)

Multiply first 2 terms3x(2x)

6x2

Multiply the outside terms3x(7)21x

Multiply the inside terms-2(2x)

-4xMultiply the Last terms

-2(7)-14

Put them all together & simplify6x2 + 21x + -4x + -14

6x2 + 17x + -14

(2x – 5)(4x2 – 3x -1)

• Multiply the first term by each of the terms in the second factor

2x(4x2 – 3x -1)8x3 – 6x2 – 2x

• Multiply the 2nd term by each of the terms in the second factor

-5 (4x2 – 3x -1)-20x2 + 15x + 5

• Add the results together & put in standard form8x3 + -20x2 +-6x2 +15x +-2x + 5

8x3 + - 26x2 + 13x + 5

practice

• pg. 104 & 105 in prealg wkbk