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Section 9.5

Section 9.5. What we are Learning: To add and subtract Polynomials. To Add Polynomials:. Group like terms and then find the sum OR Write them in column form and then add. Example: Find (7x 2 + 9x – 6) + ( -4x 2 – 7 + 3x). Grouping Like Terms:. Column Form:.

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Section 9.5

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  1. Section 9.5 What we are Learning: To add and subtract Polynomials

  2. To Add Polynomials: • Group like terms and then find the sum OR • Write them in column form and then add

  3. Example:Find (7x2 + 9x – 6) + ( -4x2 – 7 + 3x) Grouping Like Terms: Column Form: • (7x2 + 9x – 6) + ( -4x2 – 7 + 3x) [7x2 + (-4x2)]+(9x + 3x)+ [-6 +(-7)] [7x2 - 4x2]+(12x)+ [-13] 3x2 + 12 x - 13

  4. Additive Inverse: • The opposite of a number, term, or polynomial • Examples:

  5. Subtracting Polynomials: • Find the Additive Inverse of the polynomial that is being subtracted THEN • Group the like terms and add OR • Write them in column form and add

  6. Example:Find (14a3 + 7a – b2) – (7a3 – 4b2) Group like terms Column form Additive Inverse: - 7a3 + 4b2 • Additive Inverse: - 7a3 + 4b2 • (14a3 + 7a – b2) + (-7a3 +4b2) [14a3 +(-7a3)] + 7a + [– b2 + 4b2] [14a3 – 7a3] + 7a +3b2 7a3 + 7a + 3b2 Note the space in the column! Remember you can only combine LIKE TERMS

  7. Let’s Work These Together: (3 + 2a + a2) + (5 – 8a + a2) (2x2–5x+7)+(5x2 -3)+(x2– x+11)

  8. Let’s Work These Together: (5x2 – 4) – (3x2 + 8x + 4) (5ax2 + 3ax) – (2ax2 – 8ax + 4)

  9. Let’s Work This Together • P represents the perimeter of the triangle below. Find the measure of the third side. P = 10x + 4y 3x + 4y 5x – 6y

  10. Homework: • Page 525 • 21 to 37 odd

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