9-1 Adding and Subtracting Polynomials

Day 46Objective 1.01

Monomial – #, variable, or the product of those; one term; 3x 12 y -5x2y

Binomial – two terms: 2x + 7Trinomial – three terms: 3x2 – 4x + 7Polynomial – many terms: 5x3 – 2x2 + 4x + 8

Terms are separated by + or - signsStandard Form – powers decrease and terms

in alphabetical order3x4y + 5x2y3 – 7x + 1

To add or subtract polynomials: MUST HAVE LIKE TERMS!!!!!

(X2 + 4) - (X - 4) - (X2 - 2X)X2 + 4 – X + 4 – X2 + 2X

1X + 8

ExamplesTell if a monomial, binomial or trinomial.

1) 7y4 – 4y2 + 2

2) 10x3y2

3) 5m2 + 9 – 3m2 + 6 + m

ExamplesSimplify and write in standard form.4) (7y2 – 3y +4y) – (8y2 +3y2 + 4y)

5) A triangle has a perimeter of 23a – 7. Two sides have lengths of 6a + 8 and

8a – 9. What is the length of the 3rd side?

ExamplesWrite the polynomial in standard form.

6) 5x – 6 + 3x2

7) x – 3x2 + 5x4 + 4

ExamplesAdd

8) (9y – 7x + 15a) + (-3y + 8a – 6x)

9) (3a2 + 3ab – b2) + (4ab + 7b2)

ExamplesSubtract.

10) (7a – 10b) – (3a + 4b)

11) (3y2 + 7y + 8) – ( 2y2 – 4y + 3)

Classwork / Homework Workbook 9-1