Do Now• Simplify the expression

3 4 33 3 4x x x 3 4 33 3 4x x x

Answers to Homework1) :cubic polynomial of 4 terms

2) :6th degree trinomial

3) :quartic monomial

4) :quintic binomial

5) :cubic trinomial

6) :cubic polynomial of 4 terms

7) :quadratic trinomial

8) :constant monomial

9) :quadratic binomial

3 25 8 3 3x x x 6 310 5 7x x 48x

5 210 4x x 3 214 7 7x x x 3 240 35 16 14x x x

25 13 7x x 9

24 2x x

Answers to Homework10) :quintic trinomial

11) :linear binomial

12) :6th degree polynomial of 5 terms

13) :quartic polynomial of 5 terms

14) :quartic binomial

15) :quintic polynomial of 4 terms

5 3 212 15 6x x x 2 6x

6 5 4 3 260 60 18 72 108x x x x x

4 3 225 30 46 33 30x x x x

4 227 7x x 5 32 5 2 1x x x

Unit 5: PolynomialsDay 02: Operations with Polynomials

Homework• Need Help?

• Textbook: Section 6.1: Polynomial Functions

• Homework: Worksheet – simplifying polynomials

Objective• To classify polynomials by their degree and

number of terms

• To simplify polynomial expressions using:• Addition• Subtraction• Multiplication

PolynomialsSimplify the expression and classify the polynomial

4 2 3 1x x x 4 2 3

8 324

28x324x 28x

Cubic Binomial

3 1x

28 5 3x x 28 5

8 25

200 8 5 3 5 3x x x

3200x 2240xCubic Trinomial

8x 225x 15x 15x 9 8x 225 30 9x x

72x

PolynomialsSimplify the expression and classify the polynomial

2 2 26 2 3 5 8 7x x x 6 3 1

18 1 19

418x418x 222x

Quartic Trinomial

10

1 1 2 2x x x x 1 2 3 4

2 3 4

2 12

2x

Linear Binomial

2 22 1 4x x x

230x 26x 28x 717

10

x x 1 2x 2x 2x 4

2x 2x 1 2x 42x 5

PolynomialsSimplify the expression and classify the polynomial

2 2 22 1 2 3 2 4 5x x x 2 2 2 5

4 2 58 5

44x

68x 238x6th Degree Trinomial

326x 22x 22 4 5x

17

13 44x 28x 3 22 4 5x

44x 28x 3

22x

4

68x 416x 26x

416x 232x 12

68x 238x 12 5

PolynomialsSimplify the expression and classify the polynomial

2 2 34 5 1 2 3 8 3 50x x x x x

Quartic Polynomial of 4 Terms

375x230x 3x

2x

3

4150x 360x 221x

3225x 290x 9x

2 33 5 1 5 1 2 3 8 3 50x x x x x x

2 35 1 2 3 8 3 50x x x x 215x 3x

375x 215x 215x 3x 2 32 3 8 3 50x x x

3 2 2 375 30 3 2 3 8 3 50x x x x x x 4150x 3165x 269x 9x 28x 3 350x4150x 3115x 261x 9x 3

Did you meet today’s objectives?• How do you know the order in which to do

things when simplifying a complex algebraic expression containing polynomials?