Algebraic expressions (Part 1)INTRODUCTION TO ALGEBRAConsider the expression below and answer the questions that follow:4+x3+3y+4+x2−5x4+𝑥3+3𝑦+4+𝑥2−5𝑥Answer:How many terms are there in the expression? What is the value of the coefficient of x2𝑥2? For what value of y𝑦 is the expression undefined? y=𝑦=
Question
Algebraic expressions (Part 1)INTRODUCTION TO ALGEBRAConsider the expression below and answer the questions that follow:4+x3+3y+4+x2−5x4+𝑥3+3𝑦+4+𝑥2−5𝑥Answer:How many terms are there in the expression? What is the value of the coefficient of x2𝑥2? For what value of y𝑦 is the expression undefined? y=𝑦=
Solution
The algebraic expression given is: 4 + x^3 + 3y + 4 + x^2 - 5x
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The number of terms in the expression: There are 5 terms in the expression. They are 4, x^3, 3y, x^2, and -5x. Note that the two '4's are considered as one term.
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The value of the coefficient of x^2: The coefficient of x^2 is 1. A coefficient is a number used to multiply a variable. In the term x^2, there is no number multiplying x^2, so the coefficient is 1.
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For what value of y is the expression undefined? The expression is defined for all real numbers y. There are no terms in the expression that would cause it to be undefined, such as a division by zero. Therefore, there is no value of y for which the expression is undefined.
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