Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

If alpha and betaare the zeros of the quadratic polynomial f(x)=x2-p(x+1)-c , show that (alpha+1)(beta+1)=1-c
Asked by yadnya patil | 02 Jun, 2014, 10:46: AM
answered-by-expert Expert Answer
C o n s i d e r space t h e space q u a d r a t i c space p o l y n o m i a l comma space x squared minus p open parentheses x plus 1 close parentheses minus c equals 0 rightwards double arrow space x squared minus p x minus open parentheses p plus c close parentheses equals 0 L e t space alpha space a n d space beta space a r e space t h e space z e r o e s space o f space t h e space q u a d r a t i c space p o l y n o m i a l. T h e n space S u m space o f space t h e space z e r o e s space i s space alpha plus beta equals minus open parentheses minus p close parentheses T h e space p r o d u c t space o f space t h e space z e r o e s space i s space alpha beta equals open square brackets minus open parentheses p plus c close parentheses close square brackets W e space n e e d space t o space s h o w space t h a t space open parentheses alpha plus 1 close parentheses open parentheses beta plus 1 close parentheses equals 1 minus c N o w space c o n s i d e r space t h e space l e f t space h a n d space s i d e space o f space t h e space e x p r e s s i o n : space open parentheses alpha plus 1 close parentheses open parentheses beta plus 1 close parentheses equals alpha beta plus alpha plus beta plus 1 space space space space space space space space space space space space space space space space space space space space space space equals open square brackets minus open parentheses p plus c close parentheses close square brackets plus p plus 1 space space space space space space space space space space space space space space space space space space space space space space equals minus p minus c plus p plus 1 space space space space space space space space space space space space space space space space space space space space space space equals 1 minus c space space space space space space space space space space space space space space space space space space space space space space equals R. H. S H e n c e space p r o v e d.
Answered by Vimala Ramamurthy | 02 Jun, 2014, 11:35: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
The number of polynomials having zeroes -3 and 5 is A) only one B) infinite C) exactly two D) at most two
Asked by rashmij34 | 21 Mar, 2023, 05:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
find a quadratic polynomial whose zero are - 5 and - 7
Asked by rimrimsangma36 | 12 Mar, 2023, 04:57: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
what is polynomials
Asked by ravindar.sanka123 | 07 Jul, 2022, 01:30: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Write the number of consecutive zeros in the prime factorization of a natural number N given by 2⁴×3⁴×5³×11.
Asked by priyankakiran2017 | 18 May, 2022, 04:06: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Draw the graph of the quadratic polynomial p(x)=x²+2x-3
question image
Asked by KANIMETImadhvi | 28 Mar, 2022, 06:53: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
the product of the zeroes of the polynomial x2-49 is
Asked by nikhilgurung763 | 30 Nov, 2021, 05:47: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
4s^2-4s+1
Asked by kritiray418 | 12 Aug, 2021, 08:07: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Draw a graph of a polynomial -3x2 + 2x – 1 and observe the shapeof the curve when coefficient of x2 is negative.
Asked by rajeevkumargupta8 | 16 May, 2021, 05:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
What is polynomials
Asked by devishyama832 | 07 Apr, 2021, 06:19: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
what's polynomial zeros
Asked by hariramyadavo888 | 02 Jan, 2021, 01:39: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×