A polynomial is said to be linear, quadratic, cubic or biquadratic acc...
Explanation:
A polynomial is an algebraic expression consisting of variables and coefficients, combined using addition, subtraction, and multiplication operations. The degree of a polynomial is determined by the highest power of the variable in the expression. Based on the degree of the polynomial, it can be classified as linear, quadratic, cubic, or biquadratic.
Linear Polynomial:
A linear polynomial is a polynomial of degree 1. It has only one term with the variable raised to the power of 1. The general form of a linear polynomial is ax + b, where a and b are constants. For example, 2x + 3 and 4y - 1 are linear polynomials.
Quadratic Polynomial:
A quadratic polynomial is a polynomial of degree 2. It has a term with the variable raised to the power of 2. The general form of a quadratic polynomial is ax^2 + bx + c, where a, b, and c are constants. For example, 3x^2 + 2x - 1 and y^2 - 4 are quadratic polynomials.
Cubic Polynomial:
A cubic polynomial is a polynomial of degree 3. It has a term with the variable raised to the power of 3. The general form of a cubic polynomial is ax^3 + bx^2 + cx + d, where a, b, c, and d are constants. For example, 2x^3 + 3x^2 - 4x + 1 and 4y^3 - 2y^2 + y - 3 are cubic polynomials.
Biquadratic Polynomial:
A biquadratic polynomial is a polynomial of degree 4. It has a term with the variable raised to the power of 4. The general form of a biquadratic polynomial is ax^4 + bx^3 + cx^2 + dx + e, where a, b, c, d, and e are constants. For example, 3x^4 + 2x^3 - x^2 + 4x - 1 and y^4 - 2y^3 + 3y^2 - 4y + 5 are biquadratic polynomials.
Conclusion:
Based on the explanation above, the statement is true. A polynomial is classified as linear, quadratic, cubic, or biquadratic according to its degree.
A polynomial is said to be linear, quadratic, cubic or biquadratic acc...
The degree of the polynomial is the highest of the degree of the polynomial. Hence, a polynomial with highest degree one is linear, two as quadratic and so on.