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Polynomials

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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

Page 3: Polynomials. Polynomial Term Binomial Trinomial 1 or more monomials combined by addition or subtraction each monomial in a polynomial polynomial with

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

Page 4: Polynomials. Polynomial Term Binomial Trinomial 1 or more monomials combined by addition or subtraction each monomial in a polynomial polynomial with

3. Find the perimeter of the triangle.

6a 5 3a

3a 2

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

Page 5: Polynomials. Polynomial Term Binomial Trinomial 1 or more monomials combined by addition or subtraction each monomial in a polynomial polynomial with

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

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

Page 6: Polynomials. Polynomial Term Binomial Trinomial 1 or more monomials combined by addition or subtraction each monomial in a polynomial polynomial with

Simplify6. 9a2 3a 7b3

9a2 3a 7b3 9a2

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

Page 7: Polynomials. Polynomial Term Binomial Trinomial 1 or more monomials combined by addition or subtraction each monomial in a polynomial polynomial with

8. x 3 2Simplify

x 3 x 3 x2 3x 3x 9

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

Page 8: Polynomials. Polynomial Term Binomial Trinomial 1 or more monomials combined by addition or subtraction each monomial in a polynomial polynomial with

Simplify9. 4c 5 2c 3

8c2 12c 10c 15

10. 3y2 2 2y 1

Page 9: Polynomials. Polynomial Term Binomial Trinomial 1 or more monomials combined by addition or subtraction each monomial in a polynomial polynomial with

Simplify

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

11. 2x2 10x 4 x 12

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