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

Find $p(0)$,$p(1)$,and $p(2)$ for the following polynomial: $p(x) = x^{3}$

Find $p(1)$,$p(2)$,and $p(4)$ for the following polynomial: $p(t) = t^{2} - 6t + 8$.

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer: $y + \frac{2}{y}$

Using the remainder theorem,find the remainder when the polynomial $p(x) = x^3 + x^2 - 26x + 24$ is divided by the divisor $x + 1$.

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer: $x^{10} + y^{3} + t^{50}$

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