
A polynomial of 4 is called a
A.Quadratic polynomial
B.Biquadratic polynomial
C.Cubic polynomial
D.None of this
Answer
482.7k+ views
Hint: A polynomial function is defined as a single or a sum of algebraic terms consisting of variables and coefficients having different powers of the same variable involving only the operations of addition, subtraction and multiplication.
Complete step-by-step answer:
The degree of a polynomial is the highest power present in it.
For example, is a polynomial equation whose degree is 4, the coefficient of is 5 and that of is 2.
The general form of a polynomial equation of degree 4 is .
Some names are assigned to the polynomials of different degrees based on the degree of that polynomial.
A polynomial whose degree is 2 is called a quadratic polynomial.
So, option (A) is not the correct answer.
A polynomial whose degree is 3 is called a cubic polynomial so option (C) is also wrong.
A polynomial whose degree is 4 is called a biquadratic polynomial.
So, the correct answer is “Option B”.
Note: There are some conditions for an algebraic expression to be a polynomial, an expression containing square roots of variables, fraction or negative powers on the variables and if variables are present in the denominator of any fraction, the expression cannot be classified as a polynomial. Also, a function can have as many zeros as the degree of the polynomial.
Complete step-by-step answer:
The degree of a polynomial is the highest power present in it.
For example,
The general form of a polynomial equation of degree 4 is
Some names are assigned to the polynomials of different degrees based on the degree of that polynomial.
A polynomial whose degree is 2 is called a quadratic polynomial.
So, option (A) is not the correct answer.
A polynomial whose degree is 3 is called a cubic polynomial so option (C) is also wrong.
A polynomial whose degree is 4 is called a biquadratic polynomial.
So, the correct answer is “Option B”.
Note: There are some conditions for an algebraic expression to be a polynomial, an expression containing square roots of variables, fraction or negative powers on the variables and if variables are present in the denominator of any fraction, the expression cannot be classified as a polynomial. Also, a function can have as many zeros as the degree of the polynomial.
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