# The number of polynomials having zeroes as -2 and 5 is (a) 1 (b) 2 (c) 3 (d) More than 3

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Updated on: September 25th, 2023

The number of polynomials having zeroes as -2 and 5 is 3. A polynomial consists of a constant and a variable, but the division of a polynomial by a variable cannot be performed. The standard form of a polynomial refers to writing the polynomial in terms of descending powers of the variable. The highest or largest exponent of a polynomial variable is known as the polynomial degree. The degree is used to determine the maximum number of polynomial solutions.

## Polynomials having Zeroes as -2 and 5

The question states The number of polynomials having zeroes as -2 and 5 is – (a) 1 (b) 2 (c) 3 (d) More than 3. A polynomial is a type of algebraic expression where the exponents of all variables must be integers. The exponent of each polynomial variable must be a non-negative integer. There are three polynomials with zeroes as -2 and 5.

Let the zeroes of the polynomial be α = -2 and β = 5

The polynomial’s generic form with α and β the zeros and is given by:

k [x2 – (α + β)x + αβ] , k is any real number

= k [x2 – (-2 + 5)x + (-2) (5)]

= k (x2 – 3x – 10)

As a result, more than three polynomials can include the zeros -2 and 5.

Summary:

## The number of polynomials having zeroes as -2 and 5 is (a) 1 (b) 2 (c) 3 (d) More than 3

There are 3 polynomials with zeroes between -2 and 5. The terms of polynomials are the parts of the expression separated by the operators + or -. Equal terms of a polynomial are terms with the same variable and the same power. Terms with different variables and powers are called different terms.

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