Question

Which of the following is a constant polynomial?

(A) -4

(B) 3x

(C) 2x(2)



(D) x(5)







​

Answer 1

Answer:

Step-by-step explanation:

Constant polynomials are also called 0 degree polynomials. The output of them does not depend on the input variable. The graph of a constant polynomial is a horizontal line. It does not have any roots unless it is a polynomial of the form P(x) = 0.

Answer 2

Answer:

(-4) is a constant polynomial.

So, option A is the correct answer.

Step-by-step explanation:

Here we want to find constant polynomial.

But now question is what is constant polynomial?

A polynomial which has 0 highest degree that polynomial is called constant polynomial.

For example,$p(a) = 3$

Highest degree of the polynomial p(a) is 0.

So,p(a) is a constant polynomial.

Again,$p(b) = {b}^{2} + 2$

Highest degree of the polynomial p(b) is 2.

So,p(b) is not a constant polynomial.

Now by option test we can find the answer of the given question.

Option -1:

Here polynomial is (-4) which has highest degree 0.

So,this is a constant polynomial.

Option -2:

Here polynomial is 3x which has highest degree 1.

So,this is not a constant polynomial.

Option -3:

Here polynomial is $2 {x}^{2}$

which has highest degree 2.

So,this is not a constant polynomial.

Option -4:

Here polynomial is ${x}^{5}$

which has highest degree 5.

So,this is not a constant polynomial.

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