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

If $p(x) = x + 3,$ then $p(x) + p(-x)$ is equal to

Write the coefficient of $x^{2}$ in each of the following:
$(i)$ $\frac{\pi}{6} x + x^{2} - 1$
$(ii)$ $3x - 5$

If $x^{2}-8x-20=(x+a)(x+b),$ then $ab=\ldots \ldots \ldots$

Factorise the following:
$9 x^{2}+4 y^{2}+16 z^{2}+12 x y-16 y z-24 x z$

Difficult
View Solution

Find the value of the polynomial $x^{2}-7x+12$ at $x=4$.

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