Find the following related terms in algebra using the given expression below. 7x¹-8x² + 4x³-9 1. Numerical Coefficients 3. Degree of polynomial 5. Constant 2. Literal Coefficients 4. Number of terms
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Find the following related terms in algebra using the given expression below. 7x¹-8x² + 4x³-9 1. Numerical Coefficients 3. Degree of polynomial 5. Constant 2. Literal Coefficients 4. Number of terms
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Answer:
1. 7, -8, 4, and -9
2. x¹, x² and x³
3. 3
4. 4
5. -9
Step-by-step explanation:
1. Numerical Coefficients:
The numerical coefficients in the expression 7x¹-8x² + 4x³-9 are 7, -8, 4, and -9. These are the numbers that multiply the variables in the expression.
2. Literal Coefficients:
The literal coefficients in the expression 7x¹-8x² + 4x³-9 are x¹, x² and x³. These are the variables in the expression and not multiplied by any numerical value.
3. Degree of polynomial:
The degree of a polynomial is the highest degree of the variable. In this expression, the degree of the polynomial is 3 as the highest degree of the variable is x³.
4. Number of terms:
The number of terms in the expression 7x¹-8x² + 4x³-9 is 4.
5. Constant:
The constant of the expression 7x¹-8x² + 4x³-9 is -9. A constant term is the term that has no variable.