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Subtracting Polynomials

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Lets review Copy the following expressions and then write the opposite of each one. 1. 2y 2 -3 2. 3x 2 +5x-4 3. -2m 2 -m+3

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Check your answer. 1. 2y 2 -3 2. 3x 2 +5x-4 -3x 2 -5x+4 3. -2m 2 -m+3 2m 2 +m-3 - 2y 2 +3

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Subtraction We learned that subtraction means to add the opposite when we were studying integers. We need to remember this as we study subtraction of polynomials as well.

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The vertical form is usually easier to use when subtracting polynomials. Example: (3x-1)-(2x+2) 3x-1 Rewrite 3x-1 -(2x+2) and add -2x-2 -(2x+2) and add -2x-2 x-3 x-3

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Of course, the idea of changing signs and adding can be used in the horizontal form too. Example: (3x-1)-(2x+2) = (3x-1)+(-2x-2) = 3x-1-2x-2 = 3x-1-2x-2 = x-3 = x-3

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Copy these on your paper and work them. 1.) (7x+3) - (4x-6) 2.) (3x-3y) – (4x-7y) 3.) (5a 2 +2a) – (-2a 2 -17)

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Check your answers 1.) (7x+3) - (4x-6) = 3x+9 2.) (3x-3y) – (4x-7y) = -x+4y 3.) (5a 2 +2a) – (-2a 2 -17) = 7a 2 +2a-17

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Subtracting Integers. What’s the difference between 7 - 3 and 7 + (-3) ? 7 - 3 = 4 and 7 + (-3) = 4 The only difference is that 7 - 3 is a subtraction.

Subtracting Integers. What’s the difference between 7 - 3 and 7 + (-3) ? 7 - 3 = 4 and 7 + (-3) = 4 The only difference is that 7 - 3 is a subtraction.

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