Find $p(0)$,$p(1)$,and $p(-2)$ for the following polynomial:
$p(x) = 10x - 4x^{2} - 3$
$p(x) = 10x - 4x^{2} - 3$
Given the polynomial $p(x) = 10x - 4x^{2} - 3$.
$(i)$ To find $p(0)$,substitute $x = 0$ into the polynomial:
$p(0) = 10(0) - 4(0)^{2} - 3 = 0 - 0 - 3 = -3$.
$(ii)$ To find $p(1)$,substitute $x = 1$ into the polynomial:
$p(1) = 10(1) - 4(1)^{2} - 3 = 10 - 4 - 3 = 3$.
$(iii)$ To find $p(-2)$,substitute $x = -2$ into the polynomial:
$p(-2) = 10(-2) - 4(-2)^{2} - 3 = -20 - 4(4) - 3 = -20 - 16 - 3 = -39$.
$(i)$ To find $p(0)$,substitute $x = 0$ into the polynomial:
$p(0) = 10(0) - 4(0)^{2} - 3 = 0 - 0 - 3 = -3$.
$(ii)$ To find $p(1)$,substitute $x = 1$ into the polynomial:
$p(1) = 10(1) - 4(1)^{2} - 3 = 10 - 4 - 3 = 3$.
$(iii)$ To find $p(-2)$,substitute $x = -2$ into the polynomial:
$p(-2) = 10(-2) - 4(-2)^{2} - 3 = -20 - 4(4) - 3 = -20 - 16 - 3 = -39$.
Explore More
Similar Questions
Factorise the following:
$4 x^{2}+20 x+25$
$4 x^{2}+20 x+25$
Easy
View SolutionExpand the following:
$(-x+2y-3z)^{2}$
$(-x+2y-3z)^{2}$
Medium
View SolutionEvaluate the following using suitable identities: $(105)^{3}$
Medium
View SolutionWhich 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: $5 x^{2}-7 x+3 \sqrt{x}$
Easy
View SolutionWithout actually calculating the cubes,find the value of each of the following:
$(14)^{3} + (27)^{3} - (41)^{3}$
$(14)^{3} + (27)^{3} - (41)^{3}$
Difficult
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo