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5.3a Adding & Subtracting Polynomials

5.3a Adding & Subtracting Polynomials. How do you add and subtract polynomials?. VOCABULARY.

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5.3a Adding & Subtracting Polynomials

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  1. 5.3a Adding & Subtracting Polynomials • How do you add and subtract polynomials?

  2. VOCABULARY 1) Polynomial: an expression which is the sum of terms in for form axk where k is a nonnegative integer. Polynomials are usually written in standard form (descending order, from largest degree to smallest degree). Standard Form: Degree Leading Coefficient

  3. VOCABULARY Term Names 2) Monomial: one term polynomial (Ex: 4 or -9x) 3) Binomial: two term polynomial (Ex: 12x+5) 4)Trinomial: three term polynomial (Ex: 5) Coefficient: A number multiplied by a variable in a term. The number is the coefficient of the variable. 6) Leading Coefficient: the coefficient of the first term 7) Degree of each term of a polynomial: the exponent of the variable

  4. VOCABULARY 8) Degree of a Polynomial: the term having the largest degree when the polynomial is 2 or more terms 9) Constant: a monomial containing just a real number and of degree 0 10)Linear: an expression of the form Ax + B and degree 1 11) Quadratic: an expression of the form Ax2+Bx + C and degree 2 12) Cubic: an expression of the form Ax3+Bx2 + Cx + D and degree 3 13) Quartic: an expression of the form Ax4+Bx3+Cx2+Dx+E and degree 4 Degree Name

  5. VOCABULARY 8) Degree of a Polynomial: the term having the largest degree when the polynomial is 2 or more terms

  6. VOCABULARY Write in standard form and identify the coefficients.

  7. Classifying Polynomials

  8. *Complete practice questions on ixl.com **Go to “Algebra 1” **Complete 10 questions each in Sections Z1, Z2 & Z3. (30 questions total) Practice on ixl.com

  9. Classifying Polynomials Complete Mix and Match Polynomial Activity

  10. Polynomials To add or subtract two polynomials, add or subtract the like terms. *IF subtraction, distribute the negative FIRST!

  11. Like Terms REVIEW: What are like terms? Constants are like terms. Which terms are like? 2x, -3, 5b, 0 -3 and 0 are like. Which terms are like? 3x, 2x2, 4, x 3x and x are like. Which terms are like? 2wx, w, 3x, 4xw 2wx and 4xw are like.

  12. Adding Polynomials

  13. Subtracting Polynomials

  14. Adding & Subtracting Polynomials

  15. Adding & Subtracting Polynomials

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