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Algebraic expressions (Part 1)INTRODUCTION TO ALGEBRAConsider the expression below and answer the questions that follow:5โˆ’4d2+5(d3+2)+d+3c+25โˆ’4๐‘‘2+5(๐‘‘3+2)+๐‘‘+3๐‘+2Answer:How many terms are there in the expression? What is the value of the coefficient of d๐‘‘? For what value of c๐‘ is the expression undefined? c=๐‘=

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Algebraic expressions (Part 1)INTRODUCTION TO ALGEBRAConsider the expression below and answer the questions that follow:5โˆ’4d2+5(d3+2)+d+3c+25โˆ’4๐‘‘2+5(๐‘‘3+2)+๐‘‘+3๐‘+2Answer:How many terms are there in the expression? What is the value of the coefficient of d๐‘‘? For what value of c๐‘ is the expression undefined? c=๐‘=

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Solution

The algebraic expression you provided is: 5โˆ’4d^2+5(d^3+2)+d+3c+2

  1. How many terms are there in the expression? The terms in an algebraic expression are separated by '+' or '-' signs. So, in this expression, there are 5 terms: 5, -4d^2, 5(d^3+2), d, and 3c+2.

  2. What is the value of the coefficient of d? The coefficient of a term is the numerical factor of the term. In this case, the coefficient of d (in the term +d) is 1.

  3. For what value of c is the expression undefined? The expression is undefined when the denominator of a fraction is zero. However, in this expression, there are no fractions, so there is no value of c for which the expression is undefined. The expression is defined for all real numbers c.

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