1. `3x^2+x-1-3x+5`, find Identify the like terms in algebraic expressionSolution:The Given Polynomial `=3x^2+x-1-3x+5`
The terms `3x^2` does not have any like terms in this list since no other terms have `x^2`
The terms `x,-3x` are like terms because they both have `x`
The terms `-1,5` are like terms because they are both constants
2. `4x^2+5x+6x^2+7x+8x+9xy+10`, find Identify the like terms in algebraic expressionSolution:The Given Polynomial `=4x^2+5x+6x^2+7x+8x+9xy+10`
The terms `4x^2,6x^2` are like terms because they both have `x^2`
The terms `5x,7x,8x` are like terms because they both have `x`
The terms `9xy` does not have any like terms in this list since no other terms have `xy`
The terms `10` does not have any like terms in this list since there is no nay other constant term
3. `2x^2-3x+1+5x^2+7x+8`, find Identify the like terms in algebraic expressionSolution:The Given Polynomial `=2x^2-3x+1+5x^2+7x+8`
The terms `2x^2,5x^2` are like terms because they both have `x^2`
The terms `-3x,7x` are like terms because they both have `x`
The terms `1,8` are like terms because they are both constants
4. `y^3,6x^2,10,5y^3,9x,5x^2,25`, find Identify the like terms in algebraic expressionSolution:The Given Polynomial `=y^3,6x^2,10,5y^3,9x,5x^2,25`
The terms `y^3,5y^3` are like terms because they both have `y^3`
The terms `6x^2,5x^2` are like terms because they both have `x^2`
The terms `10,25` are like terms because they are both constants
The terms `9x` does not have any like terms in this list since no other terms have `x`
This material is intended as a summary. Use your textbook for detail explanation.
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