Algebraic expressions (Part 1)INTRODUCTION TO ALGEBRAConsider the expression below and answer the questions that follow:a3+2b+3+a2+5a−1𝑎3+2𝑏+3+𝑎2+5𝑎−1Answer:How many terms are there in the expression? What is the value of the coefficient of a2𝑎2? For what value of b𝑏 is the expression undefined? b=𝑏=
Question
Algebraic expressions (Part 1)INTRODUCTION TO ALGEBRAConsider the expression below and answer the questions that follow:a3+2b+3+a2+5a−1𝑎3+2𝑏+3+𝑎2+5𝑎−1Answer:How many terms are there in the expression? What is the value of the coefficient of a2𝑎2? For what value of b𝑏 is the expression undefined? b=𝑏=
Solution
The given expression is: a^3 + 2b + 3 + a^2 + 5a - 1
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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 6 terms: a^3, 2b, 3, a^2, 5a, and -1.
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What is the value of the coefficient of a^2? The coefficient of a term is the numerical or constant factor of the term. In the term a^2, the coefficient is 1 (since there is no other number multiplying a^2).
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For what value of b 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 b that would make the expression undefined. The expression is defined for all real numbers b.
Similar Questions
How many terms are there in the expression? What is the value of the coefficient of a2𝑎2? For what value of b𝑏 is the expression undefined? b=𝑏=
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