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Published byJonah Randall Modified over 4 years ago

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Degree The largest exponent

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Standard Form Descending order according to exponents

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Leading Coefficient Once in standard form… The leading coefficient is the NUMBER out front (including its sign)

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# of Terms Name by # of Terms 1 Monomial 2 Binomial 3 Trinomial 4+Polynomial

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Degree (largest exponent) Name by degree 0 Constant 1 Linear 2 Quadratic 3 Cubic 4 Quartic

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Special Names: Cubic Monomial Degree Name: # of Terms Name:

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Special Names: Quadratic Binomial Degree Name: # of Terms Name:

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3x - 5 -2x 2 Standard Form: Degree: Name by Degree: Leading Coefficient: Name by # of Terms:

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Adding Polynomials

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Step 1: Group Like Terms Step 2: Simplify

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1. 3x 2 + x + 2

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2. x 2 + 2x – 2

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3. -2x 2 + 3x – 5

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4. -x + 6

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Subtracting Polynomials

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Step 2: Group Like Terms Step 3: Simplify Step 1: Distribute the subtraction sign

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3a 2 + 10a – 8a 2 + a – 5a 2 + 11a

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7x – 3 – 9x + 2 – 2x – 1

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3x 2 + 2x – 4 – 2x 2 – x + 1 x 2 + x – 3

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Multiplying Polynomials

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Step 1: Multiply the Coefficients Step 2: Add the Exponents *If necessary, distribute!* Ex: (5x 2 )(-2x 3 )Ex: (5x 2 )(-2x 3 ) 1.1. 2.2.

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(5x 2 )(-2x 3 )

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(2x 2 )(10x 3 -7x 5 )

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(3x 2 )(3x 3 -7x + x 2 + x 5 )

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Binomial * Binomial “FOIL” F O I L & Simplify

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(x+9)(x+3) F O I L Simplified:

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(x+4)(x-7) F O I L Simplified:

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(3w-1)(2w-4) F O I L Simplified:

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Binomial * Trinomial Step 1: Distribute First term in the binomial to all three terms in trinomial. Step 2: Distribute Second term in the binomial to all three terms in trinomial. Step 3: Simplify

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(5b-6)(3b 2 – 2b + 5)

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Dividing Polynomials by a Monomial

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Step 1: Simplify the coefficients Step 2: Subtract the exponents

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