State whether the following statement is true or false:
$x^{2}-5x+4$ is a linear polynomial.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(B) The given polynomial is $p(x) = x^{2}-5x+4$.
$A$ polynomial is called a linear polynomial if its degree (the highest power of the variable) is $1$.
In the given expression $x^{2}-5x+4$,the highest power of the variable $x$ is $2$.
Since the degree of the polynomial is $2$,it is a quadratic polynomial,not a linear polynomial.
Therefore,the statement is False.

Explore More

Similar Questions

Which of the following expressions are polynomials in one variable and which are not? State the reason for your answer. If the given expression is a polynomial,state whether it is a polynomial in one variable or not: $\pi x^{2}-\sqrt{3} x+11$

Classify the following as a constant,linear,quadratic,or cubic polynomial:
$1+x+x^{2}$

Factorise the following quadratic polynomial by splitting the middle term:
$x^{2}-4x-77$

Which of the following expressions is a polynomial? State the reason. If an expression is a polynomial,state whether it is a polynomial in one variable or not.
$5x^2 + 11x - 2\sqrt{x}$

Factorise $: 8 x^{3}+y^{3}-27 z^{3}+18 x y z$

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo