Question

A polynomial of degree two is called _______.

A. Constant polynomial

B. Linear polynomial

C. Quadratic polynomial

D. Cubic polynomial

Answer 1

Hint: In the given question, we have been asked what a degree two polynomial is called. For solving this question, we must know what the word ‘degree’ means in this context. And of course, we need to know the naming of the polynomials of different degrees.

Complete step by step solution:

In the given question, we have been asked what a degree two polynomial is called.

First, we need to know what ‘degree’ is referred to here.

The degree of a polynomial is the highest or the greatest power of a variable in the polynomial equation.

So, the degree of the equation \[{x^3} + 3{x^2} + 4\] is \[3\]. Similarly, the degree of the equation \[x + 2\] is \[1\].

Now, a polynomial with degree two looks like \[a{x^2} + bx + c\] and is called a quadratic polynomial.

Hence, the correct option is C.

Note: The degree represents that when the polynomial is plotted on the graph, at how many points does the graph intersect the axes (the x-axis or the y-axis, depending upon what is being used).