Adding and Subtracting Polynomials

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Presentation transcript:

Adding and Subtracting Polynomials Linwood John Ehret High School Algebra I

Classified by Number of Terms Classify Polynomials Polynomial Degree Classified by Degree Classified by Number of Terms 6 Constant Monomial -2x 1 Linear 3x + 1 Binomial -x2 +2x – 5 2 Quadratic Trinomial 4x3 – 8x 3 Cubic 2x4 – 7x3 – 5x + 1 4 Quartic

Write each polynomial in Standard Form. Rule: The degree of each term put in order from greatest to least. 1) x4 + 2 – x2

Write each polynomial in Standard Form. 2) -2y + y3 + y2 – 3

Simplify each polynomial. 3) 5a + a2 + 3a2 + 2

Simplify each polynomial. 4) 3x – 8x + 2x2 + 4x2

Simplify each polynomial. 5) 12x2 + 10 + 8x2 – 8

Adding Polynomials

Example 1 (2x2 + 3x – 1) + (x2 + x + 3)

Example 2 (7d2 + 7d) + (2d2 + 3d)

Example 3 Your Turn (x2 + 2x + 5) + (3x2 + x +12)

Find the Sum. 4) z2 + 5z + 4 and 2z2 - 5

Find the sum. 5) (4g2 – 2g + 2) + (2g2 – 3)

Subtracting Polynomials

6) (-2x3 + 5x2 – x + 8) – (-2x3 + 3x – 4)

7) (x2 – 8) – (7x + 4x2)

8) (3x2 – 5x + 3) – (2x2 – x – 4)

White Board Practice Take out TEXTBOOK Turn to PAGE 579