Polynomials

Polynomial Term Binomial Trinomial

1 or more monomials combined

by addition or

subtraction

each monomial

in a polynomial

polynomial with 2 terms

polynomial with 3 terms

4x3 y 3y2 54x3 y 3y2 5

has 3 terms5x4 1 3x 2 2xy y2

Like terms are two or more monomials that are have the exact same variables to the exact same exponents but may differ by coefficient.

4. 4x3 3x 10x 2 8x2 2x x 3 x4

Combine like terms and put terms in descending order

4x3 3x 10x 2 8x2 2x x3 x 4

Simplify

x4 3x 3 2x2 5x

5. 2x2 3xy 5y2 4x 2 3xy 2y2 2x2 3xy 5y2 4x2 3xy 2y2

2x2 7y2

3. Find the perimeter of the triangle.

6a 5 3a

3a 2

P = (6a - 5) + (3a + 2) + 3a

P = 12a - 3

Simplify6. 9a2 3a 7b3

9a2 3a 7b3 9a2

27a3 63a2b3

7. x 8 x 12 x2 12x 8x 96x2 20x 96

8. x 3 2Simplify

x 3 x 3 x2 3x 3x 9

x2 6x 9

*Notice that (a+b) 2 = a2 +2ab +b2

Simplify9. 4c 5 2c 3

8c2 12c 10c 158c2 22c 15

10. 3y2 2 2y 1 6y3 3y2 4y 2

Simplify

2x3 24x2 10x 2 120x 4x 48

11. 2x2 10x 4 x 12

2x3 14x2 124x 48