the given polynomial is divided by x-3 then the degree of quotient is
Answers
Answer:
Find your AIR and see where you stand in your exam prep. Learn more×
answr
search
What would you like to ask?
9th
Maths
Polynomials
Factorisation of Polynomial
When a polynomial P(x) is d...
MATHS
avatar
Asked on December 27, 2019 by
Juhi Jangid
When a polynomial P(x) is divided by x,(x−2) and (x−3), remainders are 1, 3 and 2 respectively. the same polynomial is divided by x(x−2)(x−3), the remainder is ax
2
+bx+c, then the value of c is
MEDIUM
Share
Study later
ANSWER
According to factor theorem
p(x)=xq(x)+1
P(x)=(x−2)q
′
(x)+3
P(x)=(x−3)q
′′
(x)+2
So, At x=0,P(0)=1
At x=2,P(2)=3
At x=3,P(3)=2
Now when the polynomial P(x) is divided by (x−2)(x−3)x the remainder must have the degree less than 3 . that is the remainder will be of the form ax
2
+bx+c
⟹P(x)=x(x−2)(x−3)q
′′′′
(x)+ax
2
+bx+c
So, P(0)=1=a(0)
2
+b(0)+c⟹c=1
Answer By
avatar
Toppr
SHARE
How satisfied are you with the answer?
This will help us to improve better
ASK
Get Instant Solutions, 24x7
No Signup required
girl
More Questions by difficulty
EASY
MEDIUM
HARD
Prev Question
Next Question
Related Questions to study
Divide 6x
2
−x−15 by (2x+3) and also verify the result.
Study later
View Answer
Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm. x
3
−3x+1,x
5
−4x
3
+x
2
+3x+1
Study later
View Answer
VIEW MORE
Revise with Concepts
Synthetic method of Polynomial division
EXAMPLE
DEFINITIONS
FORMULAES
20,000+
Learning videos
8,000+
Fun stories
10,000+
Fundamental concepts
8,00,000+
Homework Questions
Learn with Videos
Synthetic division by binomial - I
Synthetic division by binomial - I
9 min
Synthetic division by binomial - II
Synthetic division by binomial - II
11 min
BROWSE BY
ClassesBoardsExams
MODULES
Online ClassesMock TestsAdaptive PracticeLive Doubts
Stay upto date with our Newsletter!
Stay informed, stay ahead. Be a topper
Your email address
About Us
Brand Resources
Press
Customer Stories
Jobs
Educators
Fellowship
Learning Planet
Guides
Ask
Blog
Bytes
News
Terms of Service
Privacy Policy
Contact Us
FAQs
Google Play
App Store
Feedback
Not using Hotjar yet?
Select an element on the page.