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Write the zeros of polynomial x2 – x – 6.
By BYJU'S Exam Prep
Updated on: September 25th, 2023
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.
Table of content
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.
