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Answer :
Let's analyze the expression [tex]\(19x^3 + 8y^2 + z\)[/tex] to identify the terms, variables, coefficients, and constants.
1. Term(s):
- The expression consists of three distinct terms: [tex]\(19x^3\)[/tex], [tex]\(8y^2\)[/tex], and [tex]\(z\)[/tex].
2. Variable(s):
- Variables are symbols that represent numbers. In this expression, the variables are [tex]\(x\)[/tex], [tex]\(y\)[/tex], and [tex]\(z\)[/tex].
3. Coefficient(s):
- Coefficients are the numerical factors of the terms that include variables.
- For the term [tex]\(19x^3\)[/tex], the coefficient is 19.
- For the term [tex]\(8y^2\)[/tex], the coefficient is 8.
- The term [tex]\(z\)[/tex] does not have a numerical coefficient explicitly written, but it can be considered to have a coefficient of 1 (even though it's not listed here, typically we only note explicit coefficients other than 1).
4. Constant(s):
- Constants are standalone numbers without variable factors. In this expression, there is no constant term, which means there aren't any standalone numbers like 5 or -3 that appear without variables.
Overall, we have:
- Terms: 3 (which are [tex]\(19x^3\)[/tex], [tex]\(8y^2\)[/tex], and [tex]\(z\)[/tex])
- Variables: [tex]\(x\)[/tex], [tex]\(y\)[/tex], [tex]\(z\)[/tex]
- Coefficients: 19, 8
- Constants: None in this expression
1. Term(s):
- The expression consists of three distinct terms: [tex]\(19x^3\)[/tex], [tex]\(8y^2\)[/tex], and [tex]\(z\)[/tex].
2. Variable(s):
- Variables are symbols that represent numbers. In this expression, the variables are [tex]\(x\)[/tex], [tex]\(y\)[/tex], and [tex]\(z\)[/tex].
3. Coefficient(s):
- Coefficients are the numerical factors of the terms that include variables.
- For the term [tex]\(19x^3\)[/tex], the coefficient is 19.
- For the term [tex]\(8y^2\)[/tex], the coefficient is 8.
- The term [tex]\(z\)[/tex] does not have a numerical coefficient explicitly written, but it can be considered to have a coefficient of 1 (even though it's not listed here, typically we only note explicit coefficients other than 1).
4. Constant(s):
- Constants are standalone numbers without variable factors. In this expression, there is no constant term, which means there aren't any standalone numbers like 5 or -3 that appear without variables.
Overall, we have:
- Terms: 3 (which are [tex]\(19x^3\)[/tex], [tex]\(8y^2\)[/tex], and [tex]\(z\)[/tex])
- Variables: [tex]\(x\)[/tex], [tex]\(y\)[/tex], [tex]\(z\)[/tex]
- Coefficients: 19, 8
- Constants: None in this expression
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