9-1 Adding and Subtracting Polynomials

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9-1 Adding and Subtracting Polynomials

• EQ What is a polynomial? What is the difference
  between adding/multiplying exponents?

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Warm-up

• Find the slope.
• (1,2), (4,3)
• (-2,-5), (4,5)
• (7,9), (2,9)
• (3,7), (3,5)

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Notes

• Monomial one term 3x
• Binomial two terms 2x 7
• Trinomial three terms 3x2 4x 7
• Polynomial many terms 5x3 2x2 4x 8
• Degree largest sum of exponents on a monomial

4
Examples

• Tell if a monomial, binomial or trinomial.
• 7y4 4y2 2
• 10x3y2

5
Examples

• Find the degree of the polynomial.
• 3) 3x2 5
• 4) y7 y5 - 3x4y4
• 5) p5 p3m3 4m

6
Examples

• Put the polynomial in standard form.
• 6) 5x 6 3x2
• 7) x 3x2 5x4 4

7
Examples

• Add
• 8) (9y 7x 15a) (-3y 8a 6x)
• 9) (3a2 3ab b2) (4ab 7b2)

8
Examples

• Subtract.
• 10) (7a 10b) (3a 4b)
• 11) (3y2 7y 8) ( 2y2 4y 3)