The Number of the polynomials that have zeroes as -2 and 5 is a) 1 b) 2 c) 3 d) more than 3

The Number of the polynomials having zeroes as -2 and 5 is

a)1   

b) 2 

c) 3 

d) more than 3   

Correct option: (d) more than 3

Polynomials

An algebraic expression in which the exponents of all variables are a whole number is called a polynomial. The power of variables of any polynomial should be a non-negative integer. We cannot perform division operations by a variable in any polynomial, but a polynomial contains constants and variables. 

Terms of Polynomials

A part of an expression that is separated by the operators + or – is defined as polynomial terms. 

For example- The polynomial expression

5𝑥³−4𝑥²+8𝑥−12 has four terms of polynomial expressions.

Degree of Polynomials

The degree of the polynomial is defined as the highest or greatest power of a variable in a polynomial. This is used to determine the maximum number of solutions of a polynomial equation. The sum of the power of the variables is equal to the degree of a polynomial with more than one variable in it.

Correct option: (d) more than 3
Explanation- 

Let us assume the zeroes of the polynomial as a= -2 and b = 5.
The general form of a polynomial with a and b as the zeroes is:
k [x² – (a + b) x + a*b], k is any real number
= k [x² – (-2 + 5) x + (-2) (5)] 

= k (x² -3x – 10)
Therefore, more than three polynomial expressions can have the zeroes as -2 and 5.