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

By Ritesh|Updated : November 4th, 2022

The number of polynomials having zeroes as -2 and 5 is 3. 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)

Number of Polynomials

  • 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.
  • A polynomial consists of a constant and a variable, but 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

In light of this, 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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