Define polynomial and give its general form. Also, describe the degree of a polynomial and give examples.

Q: Define polynomial and give its general form. Also, describe the degree of a polynomial and give examples.

Definition of Polynomial\nA polynomial is an expression consisting of variables and coefficients combined using only addition, subtraction, and multiplication. It is a finite sum of terms, each term being a product of a variable raised to a non-negative integer power and a coefficient. General Form of Polynomial\nThe general form of a polynomial in one variable is:\nax^n + bx^(n-1) + cx^(n-2) + ... + k \nwhere a, b, c, ..., k are constants and n is a non-negative integer. Degree of a Polynomial\nThe degree of a polynomial is the highest power of the variable in the polynomial. For example, in the polynomial 3x^2 + 2x - 4, the degree is 2. Examples 2x^2 + 3x - 1 (degree 2) x^3 - 2x^2 + x + 1 (degree 3) 5 (degree 0) Conclusion\nIn conclusion, a polynomial is a mathematical expression consisting of variables and coefficients combined using only addition, subtraction, and multiplication. The degree of a polynomial is the highest power of the variable in the polynomial.

Question

Accepted Answer

Definition of Polynomial
A polynomial is an expression consisting of variables and coefficients combined using only addition, subtraction, and multiplication. It is a finite sum of terms, each term being a product of a variable raised to a non-negative integer power and a coefficient. General Form of Polynomial
The general form of a polynomial in one variable is:
ax^n + bx^(n-1) + cx^(n-2) + ... + k 
where a, b, c, ..., k are constants and n is a non-negative integer. Degree of a Polynomial
The degree of a polynomial is the highest power of the variable in the polynomial. For example, in the polynomial 3x^2 + 2x - 4, the degree is 2. Examples 2x^2 + 3x - 1 (degree 2) x^3 - 2x^2 + x + 1 (degree 3) 5 (degree 0) Conclusion
In conclusion, a polynomial is a mathematical expression consisting of variables and coefficients combined using only addition, subtraction, and multiplication. The degree of a polynomial is the highest power of the variable in the polynomial.

MP Board · Class 10 · Mathematics · PolynomialsDefine polynomial and give its general form. Also, describe the degree of a polynomial and give examples.

Definition of Polynomial\nA polynomial is an expression consisting of variables and coefficients combined using only addition, subtraction, and multiplication. It is a finite sum of terms, each term being a product of a variable raised to a non-negative integer power and a coefficient.

General Form of Polynomial\nThe general form of a polynomial in one variable is:\nax^n + bx^(n-1) + cx^(n-2) + ... + k

Degree of a Polynomial\nThe degree of a polynomial is the highest power of the variable in the polynomial. For example, in the polynomial 3x^2 + 2x - 4, the degree is 2.

Examples

Conclusion\nIn conclusion, a polynomial is a mathematical expression consisting of variables and coefficients combined using only addition, subtraction, and multiplication. The degree of a polynomial is the highest power of the variable in the polynomial.