1. Warm Up answers 1. x 2. 3x²y – 8xy² 3. 7x² - 3x 4. 1 term 5. 2 terms

2. Warm Up

3. L6-1Obj: Students will classify polynomials by degree and term
L6-2 Obj: Students will multiply binomials and find zero’s of polynomials

6. The term with the largest degree is x3,so the polynomial is degree 3.
Polynomial Functions
Write each polynomial in standard form. Then classify it by degree and by number of terms.
a. 9 + x3 b. x3 – 2x2 – 3x4
x3 + 9
–3x4 + x3 – 2x2
The term with the largest
degree is x3,so the polynomial
is degree 3.
The term with the largest
degree is –3x4, so the
polynomial is degree 4.
It has two terms.
The polynomial is a
cubic binomial.
It has three terms.
The polynomial is
a quartic trinomial.

7. Practice Write each in standard form and classify by degree and term1. 2. 3. 4. 5.

8. 1. (5x³ - 6x + 8) – ( 3x³ - 9)
2. 5x²(6x – 2)
3. y(y-4)²

9. Write (x – 1)(x + 3)(x + 4) as a polynomial in standard form.
Polynomials and Linear Factors
LESSON 6-2
Additional Examples
Write (x – 1)(x + 3)(x + 4) as a polynomial in standard form.

10. Practice 1.( x – 2 ) (x + 3) ( x + 4) 2. (x - 5) ( x + 5 ) ( x - 5 )
3. ( y + 8 ) (y – 1 ) ( y + 1 )
4. (x + 2)(x – 5)( 2x + 1)

11. Write 3x3 – 18x2 + 24x in factored form.
Polynomials and Linear Factors
LESSON 6-2
Additional Examples
Write 3x3 – 18x2 + 24x in factored form.

12. Practice
1. 2x³ - 4x² -2x
2. 5x³ - 10x² - 75x

13. Find the zeros of y = (x + 1)(x – 1)(x + 3).
Polynomials and Linear Factors
LESSON 6-2
Additional Examples
Ex: 3
Find the zeros of y = (x + 1)(x – 1)(x + 3).

14. Practice Find the zero’s y = (x – 5)(x + 5 )(x – 2)

15. Write a polynomial in standard form with zeros at 2, –3, and 0.
Polynomials and Linear Factors
LESSON 6-2
Additional Examples
Ex: 4
Write a polynomial in standard form with zeros at 2, –3, and 0.

16. Practice Write an equation with the given zero’s 1. 5,6, -7
2. -3, 3, 4

17. Homework 6.1 (p 316) #34-40e 46-50e 6.2 (p 323) #2-12e 20-24e 41-44
Polynomials and Linear Factors
Find any multiple zeros of ƒ(x) = x5 – 6x4 + 9x3 and state the multiplicity.
ƒ(x) = x5 – 6x4 + 9x3
Homework
6.1 (p 316) #34-40e 46-50e
6.2 (p 323) #2-12e 20-24e 41-44

18. Homework
6.1 (p 316) #34-40e 46-50e
6.2 (p 323) #2-12e 20-24e 41-44a