1. Math on the Mind: Polynomials
Write each expression in standard form. Then name each polynomial by its degree and number of terms.
1. –4 + 3x – 2x2
2. 2b2 – 4b3 + 6
–2x2 + 3x – 4; quadratic trinomial
–4b3 + 2b2 + 6; cubic trinomial

2. Adding Polynomials
Unit 8, Lesson 2

3. Adding Polynomials with Virtual Algebra Tiles
iText/products/ /data/media/Ch09/09-01/PH_Alg1_ch09- 01_Gizmo.html

4. Add the polynomials. + x2 + 3x + 7y + xy + 8 x2 + 4y + 2x + 31 1 Y 1 1 1 Y 1 1 1 Y
x2 + 3x + 7y + xy + 8
x2 + 4y + 2x + 3
3x + 7y + 8
x2 + 11xy + 8
teachers.henrico.k12.va.us/math/hcpsalgebra1/.../7.../AddPolynomials.pp...

5. Adding Polynomials Simplify (6x2 + 3x + 7) + (2x2 – 6x – 4).
Method 1: Add vertically.
Line up like terms. Then add the coefficients.
6x2 + 3x + 7
2x2 – 6x – 4
8x2 – 3x + 3

6. Adding Polynomials Simplify (6x2 + 3x + 7) + (2x2 – 6x – 4).
Method 2: Add horizontally.
Group like terms. Then add the coefficients.
(6x2 + 3x + 7) + (2x2 – 6x – 4)
= (6x2 + 2x2) + (3x – 6x) + (7 – 4)
= 8x2 – 3x + 3

7. Add 2x3 – 5x2 + 3x – 9 and x3 + 6x2 + 11. SOLUTION 2x3 – 5x2 + 3x – 9
edweb.tusd.k12.az.us/tbushnell/Int%20Alg/6.3%20a.ppt

8. EXAMPLE 2
Add 3y3 – 2y2 – 7y and –4y2 + 2y – 5.
(3y3 – 2y2 – 7y) + (–4y2 + 2y – 5)
= 3y3 – 2y2 – 4y2 – 7y + 2y – 5
= 3y3 – 6y2 – 5y – 5
edweb.tusd.k12.az.us/tbushnell/Int%20Alg/6.3%20a.ppt

9. Add the following polynomials: (9y - 7x + 15a) + (-3y + 8x - 8a)
Group your like terms.
9y - 3y - 7x + 8x + 15a - 8a
6y + x + 7a
teachers.henrico.k12.va.us/math/hcpsalgebra1/.../7.../AddPolynomials.pp...

10. Add the following polynomials: (3a2 + 3ab - b2) + (4ab + 6b2)
Combine your like terms.
3a2 + 3ab + 4ab - b2 + 6b2
3a2 + 7ab + 5b2
teachers.henrico.k12.va.us/math/hcpsalgebra1/.../7.../AddPolynomials.pp...

11. _________________________ x2 - 3xy + 5y2
Add the following polynomials using column form: (4x2 - 2xy + 3y2) + (-3x2 - xy + 2y2)
Line up your like terms.
4x2 - 2xy + 3y2
+ -3x2 - xy + 2y2
_________________________
x2 - 3xy + 5y2
teachers.henrico.k12.va.us/math/hcpsalgebra1/.../7.../AddPolynomials.pp...

12. Find the sum or difference. (5a – 3b) + (2a + 6b)
teachers.henrico.k12.va.us/math/hcpsalgebra1/.../7.../AddPolynomials.pp...

13. Practice with Addition
ALGEBRA/AV2/sprac_a.htm
mework_help/alg1/alg1_ch07_06_homework help.html