Question

A polynomial is one variable of degree 4 has almost
a) 3 terms
b) 4 terms
c) 5 terms
d) 6 terms ​

Answer 1

Answer:

option c is correct......

Answer 2

ANSWER:-

We use a formula for finding no of terms i.e. (n+1) where n belongs to a natural no and degree given in Question.

So, in this question,

n = 4

No of terms → (n+1)

→ (4+1)

→ 5 Answer.

Explanation:-

Why do we use this formula? How no of terms is equal to (n+1)?

These questions arises. So I am explaning all of these.

Question 1:- Why do we use this formula?

Answer:- We use this formula because it helps us to find no of terms of any degree of polynomial of one variable in just a second.

Question 2:- How no of terms is equal to (n+1)?

Answer:- Since in a polynomial of degree 0 i.e. Constant Polynomial we see only one term.

For Example:- 2, 1, 9, etc.

But in polynomial of degree 1 i.e. Linear Polynomial we see there can have most two terms.

Form of Linear Polynomial:- ax+b(where a must not equal to 0)

Example:- 3x+1, 3x

We see it has most 2 terms.

In polynomial of degree 2 i.e. Quadratic Polynomial we see that there can have most 3 terms.

Form of Quadratic Polynomial:- ax²+bx+c(where a must not equal to 0.

For example:- 3x²+4x+1, 3x²+4x, 3x²+1, 3x², etc

We see here at, in the form of polynomial, after increasing one degree, one term is also increasing and in all degree of polynomial no terms is always one greater than the degree.

Thus, we use this formula:-

(n+1)→No of terms

Hope You have Understood.