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which of the following expressions are polynomials in one variable and which are not ? state reasons for your answer. (I) 4x2-3x+7
? Related: Introduction To Polynomials
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which of the following expressions are polynomials in one variable and...
Polynomials in One Variable:
A polynomial in one variable is an algebraic expression that consists of one variable raised to non-negative integer powers, multiplied by coefficients, and combined using addition and subtraction.
The given expression is 4x^2 - 3x + 7.
Explanation:
To determine if the given expression is a polynomial in one variable or not, we need to check if it satisfies the conditions mentioned above.
1. The expression consists of one variable, 'x'.
2. The variable 'x' is raised to non-negative integer powers, specifically 2 and 1.
3. The coefficients of the variable are 4 and -3.
4. The terms are combined using addition and subtraction.
Therefore, the given expression 4x^2 - 3x + 7 is a polynomial in one variable.
Reasoning:
The given expression satisfies all the conditions of a polynomial in one variable. It consists of one variable, 'x', raised to non-negative integer powers (2 and 1). The coefficients of the variable are 4 and -3, and the terms are combined using addition and subtraction. Hence, it can be classified as a polynomial in one variable.
Summary:
The expression 4x^2 - 3x + 7 is a polynomial in one variable because it consists of one variable raised to non-negative integer powers, multiplied by coefficients, and combined using addition and subtraction.
A polynomial in one variable is an algebraic expression that consists of one variable raised to non-negative integer powers, multiplied by coefficients, and combined using addition and subtraction.
The given expression is 4x^2 - 3x + 7.
Explanation:
To determine if the given expression is a polynomial in one variable or not, we need to check if it satisfies the conditions mentioned above.
1. The expression consists of one variable, 'x'.
2. The variable 'x' is raised to non-negative integer powers, specifically 2 and 1.
3. The coefficients of the variable are 4 and -3.
4. The terms are combined using addition and subtraction.
Therefore, the given expression 4x^2 - 3x + 7 is a polynomial in one variable.
Reasoning:
The given expression satisfies all the conditions of a polynomial in one variable. It consists of one variable, 'x', raised to non-negative integer powers (2 and 1). The coefficients of the variable are 4 and -3, and the terms are combined using addition and subtraction. Hence, it can be classified as a polynomial in one variable.
Summary:
The expression 4x^2 - 3x + 7 is a polynomial in one variable because it consists of one variable raised to non-negative integer powers, multiplied by coefficients, and combined using addition and subtraction.
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which of the following expressions are polynomials in one variable and which are not ? state reasons for your answer. (I) 4x2-3x+7 Related: Introduction To Polynomials?
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