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DO NOW

DO NOW. #1) Add the following polynomial: (5a 2 x + 8ax 2 - 4x) + (a 2 x - 10ax 2 + 7x). Topic : Polynomials. Main Idea : Subtracting Polynomials. Subtracting Polynomials. Step 1 : Distribute the negative. Subtract: (3x 2 + 2x + 7) - (x 2 + x + 4).

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DO NOW

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  1. DO NOW #1) Add the following polynomial: (5a2x + 8ax2 - 4x) + (a2x - 10ax2 + 7x)

  2. Topic: Polynomials Main Idea: Subtracting Polynomials

  3. Subtracting Polynomials Step 1: Distribute the negative. Subtract: (3x2 + 2x + 7) - (x2 + x + 4) (3x2 + 2x + 7) + (- x2 + - x + - 4) Step 2: Drop the parentheses. 3x2 + 2x + 7 + (- x2) + (- x) + (- 4) Step 3:Add like terms. 2x2 + x + 3

  4. Subtracting Polynomials • What must you remember to do when subtracting polynomials? • Distribute the negative. • Directions: Subtract the following polynomials:

  5. Subtracting Polynomials • Directions: Subtract the following polynomials by changing to addition (Keep-Change-Change.), then add:

  6. Subtracting Polynomials • Directions: Subtract the following polynomials by changing to addition (Keep-Change-Change.), then add:

  7. Subtracting Polynomials Solutions • Directions: Subtract the following polynomials by changing to addition (Keep-Change-Change.), then add:

  8. #4) Subtract: 8a+5b-6c from 10a+8b+7c • Remember: The polynomial after the word "from" is placed first in the subtraction problem. • Solve: (10a+8b+7c) - (8a+5b-6c) • #1) Clear the parentheses by distributing the signs. • #2) Drop the parentheses. 10a+8b+7c-8a-5b+6c • #3) Combine like terms. • ANSWER: 2a+3b+13c

  9. SUMMARY • What are the 3 steps when subtracting polynomials? • 1) Distribute the negative. (KEEP-CHANGE-CHANGE) • 2) Drop the parentheses. • 3) Add like terms. • Why is the distribution of the negative sign an important step to follow?

  10. HOMEWORK COMPLETE THE “ADDING AND SUBTRACTING POLYNOMIAL” HANDOUT!

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