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Exponents and Polynomials Chapter Ten Adding and Subtracting Polynomials Section 10.1.

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Presentation on theme: "Exponents and Polynomials Chapter Ten Adding and Subtracting Polynomials Section 10.1."— Presentation transcript:

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2 Exponents and Polynomials Chapter Ten

3 Adding and Subtracting Polynomials Section 10.1

4 Polynomial A polynomial in x is a finite sum of terms of the form, where a is a real number and n is a whole number. For example, This polynomial is written in descending powers of x because the powers of x decrease from left to right. Recall that the term 6 can be thought of as. On the other hand, is not a polynomial because one of the exponents is a negative number which is not a whole number. 3

5 Types of Polynomials b A monomial is a polynomial with exactly one term. b A binomial is a polynomial with exactly two terms. b A trinomial is a polynomial with exactly three terms. 4 Martin-Gay, Prealgebra, 5ed

6 Adding Polynomials To add polynomials, use the commutative and associative properties and then combine like terms. Add: Remove parentheses. Combine like terms. Simplify. 5

7 to subtract a polynomial, add its opposite. a - b = a + (-b) Recalling the definition of subtraction, Subtracting Polynomials To subtract two polynomials, change the signs of the terms of the polynomial being subtracted, and then add. 6 Martin-Gay, Prealgebra, 5ed

8 Subtracting Polynomials... Subtract: Remove parentheses. Combine like terms. Simplify. Add the opposite. Add Change the signs. 7

9 Helpful Hint Don’t forget to change the sign of each term in the polynomial being subtracted. 8 Martin-Gay, Prealgebra, 5ed


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