Write the zeros of polynomial x2 - x - 6.

By Ritesh|Updated : November 11th, 2022

The zeroes of the polynomial x2 − x − 6 = 0 are 3, -2. An algebraic expression known as a polynomial has an exponent on every variable that is a whole number. The highest or greatest power of a variable in a polynomial equation is referred to as the polynomial's degree.

  • A polynomial is a mathematical equation made up of exponents, constants, and variables that are mixed using addition, subtraction, multiplication, and division.
  • The expression is divided into three categories: monomial, binomial, and trinomial depending on how many terms are included in it.
  • The product of a polynomial's factors with degrees that are less than or equal to the original polynomial can be used to represent a polynomial.
  • Factorization of polynomials is the technical term for the factoring process.
  • The value of a polynomial is the result of applying a specific value to the variable, and it is expressed as such.

Steps to find zeros of polynomial x2 - x - 6

To find: Zeroes by factorizing the equation x2 − x − 6 = 0

We find the zeroes by factorizing the equation x2 − x − 6 = 0 as follows:

x2 − x − 6 = 0

The above equation can be written as:

⇒ x2 − 3x + 2x − 6 = 0

Taking common we get:

⇒ x(x − 3) + 2(x − 3) =0

⇒ (x + 2) (x − 3) = 0

In simplification we get the:

⇒ x + 2 = 0, x − 3 = 0

⇒ x = −2, x = 3.

Hence, the zeroes of the polynomial x2 − x − 6 = 0 are 3, -2.

Summary:

Write the zeros of polynomial x2 - x - 6.

The zeroes of the polynomial x2 − x − 6 = 0 are 3, -2. Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates.

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