Ask a Doubt
Request a call back

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

CBSE Class 9 Answered

if (x-2)and(2x-1)are factors of ax^2+5x+b show that a-b=0
Asked by Anishma Joseph | 15 Jul, 2013, 07:10: PM
answered-by-expert Expert Answer
Since, (x-2)and(2x-1)are factors of f(x) =ax^2+5x+b
hence, f(2) = f(1/2) = 0
f(2) = a(2)^2 + 5(2) + b = 0
4a + 10 + b = 0 (1)
 
Also, f(1/2) = a(1/2)^2 + 5*1/2 + b  = 0
a + 10 + 4b = 0 (2) 
 
Subtracting 1 and 2
3a -3b = 0
a-b = 0
Hence proved. 
 
Answered by | 15 Jul, 2013, 09:32: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test Subjective Questions Webinar Subjective Questions Pre Board Assessment
Answered Unanswered My Questions My Answers
CBSE 9 - Maths
Expand    (x-3/x)³
Asked by sagrawal0081 | 12 Aug, 2023, 05:34: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Professor Trig prepared a question paper which contains 8 problems to test his post graduate students. Each student was given 3 of them. No two students received more than one common problem. What is the largest possible number of students?  
Asked by ketkiparasgandhi | 24 Jun, 2023, 01:56: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
p(x)= ax³-3x²+4 and g(x)= 2x³-5x+a when divided by (x-2) and (x-3) leaves the remainder p and q respectively if p-2q=4, then find the value of a
Asked by palakbajwa21 | 24 May, 2023, 07:41: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
divide x^3+3x^2+3x+1 by x+1 find the remainder
Asked by 1987daljeetkaur | 22 May, 2023, 11:54: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
factorise: a^7+ab^6
Asked by shivalaxmi0205 | 23 Feb, 2023, 10:28: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
if x-2y=11 and xy=8. find the value of x³-8y³
Asked by shivalaxmi0205 | 21 Feb, 2023, 07:34: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
if x-1/x=3, then find value of x³-1/x³.
Asked by shivalaxmi0205 | 21 Feb, 2023, 07:33: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
factorise f(x)= 2x³-3x²-17x+30
Asked by shivalaxmi0205 | 21 Feb, 2023, 07:31: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
if p(x)=x³-ax²+bx+3 leaves a reminder -19 when divided by x+2 and a reminder of 17 when divided by x-2. prove that a+b=6
Asked by shivalaxmi0205 | 21 Feb, 2023, 07:26: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
find the values of a and b so that x+1 and x-1 are factors of x⁴+ax³+x²+2x+b
Asked by shivalaxmi0205 | 15 Feb, 2023, 06:49: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt

Be a Top Scorer in the Exam with Test Series and Test Generator!

Enrol Now
×