7.02 Adding/Subtracting Polynomials the lesson) Like Terms (click the “refresher” link in Terms Why are they Like terms? **Like terms have the same “variable part”* · _________________________________________________________ · _________________________________________________________ So once you have like terms, you can combine them using the signs given in the problem. Problem Answer 2xy + 3xy = 5y 3y = – 7x4y5 + 9x4y5 = Adding and Subtracting Polynomials: Two ways: · _______________________________ · _______________________________ HM Addition: VM Addition: x + 4 *drop the (x + 4) + (2x 7) *drop the parenthesis, – parenthesis, align align +2x 7 the like terms and x+2x+4-7 like terms, preform – add down operation (+/-) ------------- 3x-3 3x-3 HM Subtraction: VM Subtraction: (4x 7) (4x 7) (13x + 2) *distribute the negative – – – -(13x + 2) to all *Distribute the negative to all terms in the terms in second second 4x-7-13x-2 *combine like terms 4x-7 4x-13x-7-2 -13x-2 *add down -9x-9 ---------- -9x-9
7.02 Adding/Subtracting Polynomials Like Terms (click the “refresher” link in the lesson) Terms Why are they Like terms? **Like terms have the same “variable part”* · _________________________________________________________ · _________________________________________________________ So once you have like terms, you can combine them using the signs given in the problem. Problem Answer 2xy + 3xy = 5y – 3y = 7x4y5 + 9x4y5 = Adding and Subtracting Polynomials: Two ways: · _______________________________ · _______________________________ HM Addition: VM Addition: x + 4 *drop the parenthesis, align +2x – 7 the like terms and add down ------------- 3x-3 (x + 4) + (2x – 7) *drop the parenthesis, align x+2x+4-7 like terms, preform operation (+/-) 3x-3 HM Subtraction: VM Subtraction: (4x – 7) -(13x + 2) *Distribute the negative to all terms in the second 4x-7 -13x-2 *add down ---------- -9x-9 (4x – 7) – (13x + 2) *distribute the negative to all terms in second 4x-7-13x-2 *combine like terms 4x-13x-7-2 -9x-9
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