Question

The number of polynomials having zeros 2 and 1 is
a) 1
b) 2
c) 3
d) more than 3

Answer 1

$\boxed{\bold{Polynomials}}$

Polynomials are the algebraic expressions which consist of co-efficients, terms and constant term and which are separated by plus (+) and minus (-) sign.

Polynomials are classified into mainly two groups which are as follows :

1. Polynomials based on terms

2. Polynomials based on degree

1. Polynomials based on terms:

There are three types of classifications of polynomials on the basis of terms which are as follows :

(i) Monomial :

Monomials are the polynomials which have only one term.

For eg : xy

(ii) Binomial :

Binomials are the polynomials which have two terms.

For eg : x + y

(iii) Trinomial :

Trinomials are the polynomials which have three terms.

For eg : x + z + 1

2. Polynomials based on degree:

There are mainly three types of polynomials which are based on the basis of degree which are as follows:

(i) Linear polynomial:

A polynomial whose degree is one is called as linear polynomial.

For eg: x + 2

(ii) Quadratic polynomial:

A polynomial whose degree is two is called as quadratic polynomial.

For eg: x² + x + 2

(iii) Cubic polynomial:

A polynomial whose degree is three is called as cubic polynomial.

For eg: x³ + x² + x + 3

Coming towards our question,

(i) Linear polynomials will have only 1 zero.

(ii) Quadratic polynomials can have no zeros, 1 zero and at the most 2 zeros.

(iii) Cubic polynomials can have 1 zero, 2 zeros or 3 zeros.

(iv) Bi-quadratic polynomials whose degree is 4 can have no zero, 1 zero, 2 zeros, 3 zeros and at the most 4 zeros.

Answer 2

Answer:d) more than 3

Step-by-step explanation: basically there r linear polynomial-it can have only one zero

Quadratic polynomial-can have 2 zeros

Cubic -can have 3 zeroes

Bi quadratic- can have 4 zeroes and so on...

In these more than 3 polynomials can have 2 zeroes except linear

So the answer is d)more than 3