Like Terms, I Add Them Adding Polynomials Like terms are terms that contain the same variables, with corresponding variables having the same power. Example: 3x2+4x+x2-2 The like terms in this expression are:
3x 2 and x 2 Copy down the following expressions and circle the like terms. 1. 7x2+8x-2y+8-6x 2. 3x-2y+4x2-y
To simplify these expressions, you should combine these like terms by adding their coefficients. Rewrite the equations with the like terms combined.
Check your answers. 1. 7x2+8x-2y+86x 2. 3x-2y+4x2-y 3. 6y+y2-3+2y24y3 When adding polynomials, you also combine
like terms. (2x2+3x-4) + (4x2+4x+8) You may add these polynomials vertically. Write each polynomial on a separate line, thus keeping them separate without using parentheses. Put like terms beneath each
other, even if to do so you must rearrange the terms of a polygon. 2x2+3x-4 4x2+4x+8 Then combine the like terms. 2x2+3x-4
4x2+4x+8 6x2+7x+4 Or you may do this horizontally by writing the polynomial without the parentheses on one line.
2x2+3x-4+4x2+4x+8 Then combine the like terms. 2x2+3x-4+4x2+4x+8 6x2+7x+4
Work these on your paper using both methods. 1. (3x2+3x+3) + (4x22x+1) 2. (y2-8y+10) + (3y2+8y+10) 3. (3a3+7a-1) + (3a2+3a4)
Check your answers. The horizontal method. 1. 3x2+3x+3 + 4x2-2x+1 2
7x x 4 The vertical method. 3x2+3x+3 4x2- 2x+1
2 7x x 4 The horizontal method.
2. y2-8y+10 + 3y2+8y+10 2 4y 20
The vertical method. y2-8y+10 3y2+8y+10 2
4y 20 The horizontal method.
3. (3a3+7a-1) + (3a2+3a-4) 3a3+3a2+10a-5 The vertical method.
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