ABHYAS | Self Learning | Testing Platform

Course / Category - 10th NTSE

Like us!

Have a Look!

WhatsApp Message

Share Link

Class Syllabus

Study Notes

Practice Tests

Sample Papers

Video Lectures

Help - Video

Available Online Courses for selected Class / Category

NTSE

10th NTSE

BASIC

Free

Join Now Syllabus

Self Learning

Free Topics

(Click here to know About SELF LEARNING)

MOCK TESTS

Few Available

(Click here to attempt Free Mock Test)

Concepts Learning Progress

Available

Course Progess

Self Learning Progress

Report Card

Revision / Exam Preparation

Theory Notes

Question Bank

Subjects Related Concepts

Test Generator

Free Topics

Reports

Available as Required.

VIDEOS

Few Available

Join Now Syllabus

NTSE

10th NTSE

Self Learning

₹17200 ₹12000 +
Taxes

Join Now Syllabus

Self Learning

Available

(Click here to know About SELF LEARNING)

MOCK TESTS

(Click here to attempt Free Mock Test)

Concepts Learning Progress

Available

Test Generator

Syllabus / Topic Test

Solution and Detailed Analysis

Course Progess

Self Learning Progress

Report Card

Revision / Exam Preparation

Theory Notes

Test Generator

Subjects Related Concepts

Self Learning

Videos

Self Learning Exams

Practice

Self Learning - At Own Pace

Question Answers with Explaination

Reports

Question-wise Analysis

Strong, Moderate and weak Concepts

Remedial Tests for Weak Concepts

Achievements - Month/Subject & Subject / Month

Self Study Detail

Graphical View

Your Rankings - Month / Subject & Subject / Month

VIDEOS

799

SUBJECTS

Maths, Physics, Chemistry, Biology, English, History, Democratic Politics, Geography, Economics, Verbal Reasoning, Non Verbal Reasoning, Vedic Maths

Join Now Syllabus

(You can also select a particular Subject or Sub-Topic as per your choice to start with. Please sign-up and proceed. Selection of Subject and Sub-Topics will appear in Purchase section after Login. To sign-up, click here.)

Why ABHYAS?

Course Benefits

Interested in M&VP

Concept Detail

Maths / Polynomials / Factor And Remainder Theorem

(A Brief Glimpse of ABHYAS Content - Have aLook !!!!)

Factor And Remainder Theorem

Value of a Polynomial:

The value of a polynomial f(x) at x = a is obtained by substituting the value of x= a in the given polynomial and it is denoted by f(a)

Illustration: Find the value of polynomial f(x) at x = 1, x= 1/2

$f(x)= 8x^2-3x+7$

$f(1)= 8(1)^2-3(1)+7 = 8-3+7 = 12$

$f(frac{1}{2})= 8(frac{1}{2})^2-3(frac{1}{2})+7$

$= 8(frac{1}{4})-3(frac{1}{2})+7$

$= (frac{8}{4})-(frac{3}{2})+7$

$= (frac{8-6+28}{4})$

$= (frac{30}{4})=frac{15}{2}$

Zero of a Polynomial:

The value of x for which the value of the polynomial becomes zero is called zero of polynomial.

Illustration: The value of the polynomial at x= 1

$f(x)= x^3-6x^2+11x-6$

$f(1)= (1)^3-6(1)^2+11(1)-6$

$= 1-6(1)+11(1)-6$

$= 1-6+11-6 =0$

As f(1) is zero so x=1 is the zero of the polynomial

and (x-1) is a factor of this polynomial.

Factor and Remainder Theorem:

It states that:

For a polynomial p(x) of degree greater than of equal to one and 'a' be any real number. If p(x) is divided by the linear polynomial x-a then the remainder is p(a)

Illustration: Find the remainder when f(x) is divided by x-1

$f(x)= x^4+x^3-2x^2+x+1$

and the zero of x-1 is 1

$f(1)= (1)^4+(1)^3-2(1)^2+(1)+1$

$= 1+1-2+1+1=2$

So by the Remainder Theorem the remainder when f(x) is divided by x-1 is 2

A Brief Look

Course Progress PANEL

Student can view their progress from this panel.

Self Study

Student can learn from Self Study panel. Concept notes and Video will appear their to learn concept. Exam will be held on the basis of concepts learn.

Exam Evaluation PANEL

Detailed Exam Analysis for Offline and online exams will be Available in Student dashboard. Offline exams will be held for in-campus students only.

Class Notes PANEL

Student can view / download Class Notes assigned to them. Request can also be sent for elapsed Notes.

REPORT CARD

Report Card of each student is visble in Student Panel for WISE-FA, WISE-PT, WISE-Testing, Written Exams, Attendance, etc.

STUDENT PANEL

Ranking amongst the students of the class are visible at any time. Students rank will automatically based on the exams given by the students and score.

SELF LEARNING PANEL

Self Learning panel to know topics/concepts read and exams given. Detail analysis provided to students for exams given. Remedial papers will be generated on student choice for Weak Concepts.

TEST GENERATOR

Test generator to generate test for concepts taught and pending.