Find $p(1)$,$p(2)$,and $p(4)$ for the following polynomial: $p(y) = y^{2} - 5y + 4$.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) To find the values of the polynomial $p(y) = y^{2} - 5y + 4$ at given points,we substitute the value of $y$ into the expression:
$1$. For $y = 1$: $p(1) = (1)^{2} - 5(1) + 4 = 1 - 5 + 4 = 0$.
$2$. For $y = 2$: $p(2) = (2)^{2} - 5(2) + 4 = 4 - 10 + 4 = -2$.
$3$. For $y = 4$: $p(4) = (4)^{2} - 5(4) + 4 = 16 - 20 + 4 = 0$.
Thus,the values are $p(1) = 0$,$p(2) = -2$,and $p(4) = 0$.

Explore More

Similar Questions

Evaluate the following using suitable identities:
$(107)^{2}$

Check whether $p(x)$ is a multiple of $g(x)$ or not:
$p(x) = 2x^3 - 11x^2 - 4x + 5, \quad g(x) = 2x + 1$

Classify the following as a linear,quadratic,or cubic polynomial:
$5 - 3t$

Factorise $(x-2 y)^{3}+(2 y-3 z)^{3}+(3 z-x)^{3}$.

Difficult
View Solution

On dividing $p(x) = 2x^3 - 3x^2 + ax - 3a + 9$ by $(x + 1)$,if the remainder is $16$,then find the value of $a$. Then,find the remainder on dividing $p(x)$ by $(x + 2)$.

Difficult
View Solution

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