Algebraic expressions (Part 1)INTRODUCTION TO ALGEBRAConsider the expression below and answer the questions that follow:5โ4d2+5(d3+2)+d+3c+25โ4๐2+5(๐3+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=
Question
Algebraic expressions (Part 1)INTRODUCTION TO ALGEBRAConsider the expression below and answer the questions that follow:5โ4d2+5(d3+2)+d+3c+25โ4๐2+5(๐3+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=
Solution
The algebraic expression you provided is: 5โ4d^2+5(d^3+2)+d+3c+2
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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.
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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.
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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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