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Chapter 2 · Question 2

What is a zero of a polynomial? Find the zero of $p(x)=2x-6$ .

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Q2

What is a zero of a polynomial? Find the zero of $p(x)=2x-6$ .

Answer Revealed

Direct Answer:

A zero of a polynomial

p(x)

is a value of

x

for which

p(x)=0

. For

2x-6=0

,

x=3

, so the zero is

3

.

Simple Explanation

Set the polynomial equal to zero and solve.

2x-6=0

gives

x=3

.

Exam-Ready Structure

A number

\alpha

is called a zero of

p(x)

if

p(\alpha)=0

. For

p(x)=2x-6

, solve

2x-6=0

. This gives

2x=6

, so

x=3

. Therefore

3

is the zero of the polynomial.

Key Points

A zero of a polynomial $p(x)$ is a value of $x$ for which $p(x)=0$ .
Use the NCERT formula or theorem carefully.
Write units and final conclusion where applicable.

Related Questions

State the relationship between zeroes and coefficients of a quadratic polynomial.

Find the zeroes of $x^2-5x+6$ and verify the coefficient relations.

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