Question

A polynomial of 4 is called a
A.Quadratic polynomial
B.Biquadratic polynomial
C.Cubic polynomial
D.None of this

Answer 1

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, $ 5{x^4} + 2{x^2} - 8 $ is a polynomial equation whose degree is 4, the coefficient of $ {x^4} $ is 5 and that of $ {x^2} $ is 2.
The general form of a polynomial equation of degree 4 is $ A{x^4} + B{x^3} + C{x^2} + Dx + E = P(x) $ .
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.