Pre-Algebra HOMEWORK

1. Polynomials 13-1 Pre-Algebra Pre-Algebra HOMEWORK Page 654 #1-14

2. Polynomials 13-1 Pre-Algebra Our Learning Goal Students will be able to classify, simplify, add and subtract polynomials.

3. Polynomials 13-1 Pre-Algebra • Students will be able to classify, simplify, add and subtract polynomials by completing the following assignments. • Learn to classify polynomials by degree and by the number of terms. • Learn to simplify polynomials. • Learn to add polynomials. • Learn to subtract polynomials. • …..and that’s all folks!

4. Polynomials 13-1 Pre-Algebra Today’s Learning Goal Assignment Learn to classify polynomials by degree and by the number of terms.

5. Polynomials 13-1 Pre-Algebra Warm Up Problem of the Day Lesson Presentation

6. Polynomials 13-1 Pre-Algebra Warm Up Identify the base and exponent of each power. 1.342. 2a3.x5 Determine whether each number is a whole number. 4. 0 5. –3 6. 5 2; a 3; 4 x; 5 yes yes no

7. Polynomials 13-1 n2 Pre-Algebra Problem of the Day If you take a whole number n, raise it to the third power, and then divide the result by n, what is the resulting expression?

8. Polynomials 13-1 Pre-Algebra Learn to classify polynomials by degree and by the number of terms.

9. Polynomials 13-1 Pre-Algebra Insert Lesson Title Here Vocabulary monomial polynomial binomial trinomial degree of a polynomial

10. Polynomials 13-1 5 g2 Pre-Algebra The simplest type of polynomial is called a monomial. A monomial is a number or a product of numbers and variables with exponents that are whole numbers.

11. Polynomials 13-1 A. √2 •x3y4 B. 3x3√y Pre-Algebra Additional Example 1: Identifying Monomials Determine whether each expression is a monomial. monomial not a monomial y does not have a exponent that is a whole number. 3 and 4 are whole numbers.

12. Polynomials 13-1 Pre-Algebra Try This: Example 1 Determine whether each expression is a monomial. A. 2w•p3y8B. 9t3.2z monomial not a monomial 3 and 8 are whole numbers. 3.2 is not a whole number.

13. Polynomials 13-1 Pre-Algebra A polynomial is one monomial or the sum or difference of monomials. Polynomials can be classified by the number of terms. A monomial has 1 term, a binomial has 2 term, and a trinomial has 3 terms.

14. Polynomials 13-1 Polynomial with 1 term. –2 is not a whole number. Polynomial with 3 terms. Polynomial with 2 terms. Pre-Algebra Additional Example 2: Classifying Polynomials by the Number of Terms Classify each expression as a monomial, a binomial, a trinomial, or not a polynomial. A. xy2 B. 2x2 – 4y–2 C. 3x5 + 2.2x2– 4 D. a2 + b2 monomial not a polynomial trinomial binomial

15. Polynomials 13-1 Polynomial with 2 terms. 2.5 is not a whole number. Polynomial with 1 term. Polynomial with 2 terms. Pre-Algebra Try This: Example 2 Classify each expression as a monomial, a binomial, a trinomial, or not a polynomial. A. 4x2 + 7z4 B. 1.3x2.5 – 4y C. 6.3x2 D. c99+ p3 binomial not a polynomial monomial binomial

16. Polynomials 13-1 Pre-Algebra A polynomial can also be classified by its degree. The degreeof a polynomial is the degree of the term with the greatest degree. 4x2 + 2x5 + x + 5 Degree 2 Degree 5 Degree 1 Degree 0 Degree 5

17. Polynomials 13-1 x + 4 The degree of x + 4 is 1. Degree 1 Degree 0 Degree 1 Degree 2 Degree 0 Pre-Algebra Additional Example 3A & 3B: Classifying Polynomials by Their Degrees Find the degree of each polynomial. A. x + 4 B. 5x –2x2 + 6 5x – 2x2 + 6 The degree of 5x – 2x2 + 6 is 2.

18. Polynomials 13-1 y + 9.9 The degree of y + 9.9 is 1. Degree 1 Degree 0 Degree 1 Degree 4 Degree 1 Pre-Algebra Try This: Example 3A & 3B Find the degree of each polynomial. A. y + 9.9 B. x + 4x4 + 2y x + 4x4 + 2y The degree of x + 4x4 + 2y is 4.

19. Polynomials 13-1 Degree 4 Degree 5 Degree 6 Pre-Algebra Additional Example 3C: Classifying Polynomials by Their Degrees Find the degree of the polynomial. C. –3x4 + 8x5–4x6 –3x4 + 8x5 – 4x6 The degree of –3x4 + 8x5 – 4x6 is 6.

20. Polynomials 13-1 Degree 4 Degree 8 Degree 2 Pre-Algebra Try This: Example 3C Find the degree of each polynomial. C. –6x4–9x8 + x2 –6x4 – 9x8 + x2 The degree of –6x4 – 9x8 + x2 is 8.

21. Polynomials 13-1 Write the polynomial expression for height. Substitute 10 for t, 275 for v, and 40 for s. Simplify. Pre-Algebra Additional Example 4: Physics Application The height in feet after t seconds of a rocket launched straight up into the air from a 40-foot platform at velocity v is given by the polynomial –16t2 + vt + s. Find the height after 10 seconds of a rocket launched at a velocity of 275 ft/s. –16t + vt + s –16(10)2 + 275(10) + 40 –1600 + 2750 + 40 1190 The rocket is 1190 ft high 10 seconds after launching.

22. Polynomials 13-1 Write the polynomial expression for height. Substitute 15 for t, 250 for v, and 20 for s. Simplify. Pre-Algebra Try This: Example 4 The height in feet after t seconds of a rocket launched straight up into the air from a 20-foot platform at velocity v is given by the polynomial -16t2 + vt + s. Find the height after 15 seconds of a rocket launched at a velocity of 250 ft/s. –16t2 + vt + s –16(15)2 + 250(15) + 20 –3600 + 3750 + 20 170 The rocket is 170 ft high 15 seconds after launching.

23. Polynomials 13-1 Determine whether each expression is a monomial. 1. 5a2z42. 3√x Classify each expression as a monomial, a binomial, a trinomial, or not a polynomial. 3. 2x – 3x – 6 4. 3m3+ 4m Find the degree of each polynomial. 5. 3a2 + a5 + 26 6. 2c3 – c2 Pre-Algebra Insert Lesson Title Here Lesson Quiz yes no trinomial binomial 5 3