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Name :Score :Simplifying Polynomial ExpressionsES1Simplify each expression. 1)3×2 5×3 x(2×2 + 4x)2)a2 2a + 5a3 + 1 10a3)17 3s2 + 2s2 5s3 + 54)17p + 8p3 4 5(p3 2)5)3(7r10 4r9 5r10)6)11c5 9c6 + 15c5
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How to fill out simplifying polynomial expressions:

01
Determine the degree of the polynomial by identifying the highest power of the variable present.
02
Combine like terms by adding or subtracting coefficients with the same variable and exponent.
03
Apply the distributive property to simplify any expressions within parentheses.
04
Simplify any exponents by raising the base to the power of the exponent.
05
Continue simplifying the polynomial expression until no further simplifications can be made.

Who needs simplifying polynomial expressions:

01
Students studying algebra or higher level math courses often encounter polynomial expressions and need to simplify them to solve equations or perform operations.
02
Engineers and scientists frequently work with polynomial functions in various fields such as physics, chemistry, and computer science and need to simplify expressions to model real-life situations.
03
Business professionals may need to simplify polynomial expressions when analyzing data or making financial calculations.
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Simplifying polynomial expressions involves combining like terms and reducing the expression to its simplest form, making calculations easier and clearer.
Typically, students studying algebra or mathematics at various levels are required to simplify polynomial expressions as part of their curriculum.
To simplify polynomial expressions, identify and combine like terms, apply the distributive property if necessary, and reorder the terms in standard form (from highest to lowest degree).
The purpose is to make expressions easier to work with, facilitate calculations, and provide clearer solutions to equations.
One must report the simplified form of the polynomial, ensuring all like terms are combined and presented correctly in standard form.
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