Ask a Doubt
Request a call back

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

CBSE Class 9 Answered

The polynomials p(x) =ax^3 +3x^2 -3 and q(x) = 2x^3 - 5x +a when divided by (x-4) leave te remainder R1 and R2. Find 'a' if R1 +R2=0. Factorise the polynomial
Asked by Nimmi | 19 Jan, 2019, 07:47: PM
answered-by-expert Expert Answer
p(x) = ax3 +3x2 -3  ..................(1)
 
q(x) = 2x3 -5x + a ...................(2)
 
if we divide the above polynomials by (x-4) and we get remainders R1 and R2 , then p(4) = R1 and q(4) = R2 .
 
p(4) = a(4)3 + 3(4)2 -3 = 64a + 48 -3 = 64a + 45 = R1 ........................(1)
 
q(4) = 128-20+a  =  a + 108 = R2  ............................(2)
 
By adding, eqn.(1) and eqn.(2),  65a + 153 = R1+R2 = 0
 
Hence a = -153/65
Answered by Thiyagarajan K | 19 Jan, 2019, 11:07: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 9 - Maths
3√5+√3/√5-√3
Asked by gulshanelectronics2017 | 15 Apr, 2024, 05:35: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
find the value of n in 7^2n+1÷49=7^3
Asked by tripura78839 | 12 Apr, 2024, 09:05: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
how to solve it
question image
Asked by singhanjali0199 | 12 Apr, 2024, 08:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
√2x^2+3x+√2
question image
Asked by killerstealer593 | 11 Apr, 2024, 07:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
x²-22x+120
Asked by rson0295 | 01 Apr, 2024, 08:55: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Draw the graph of the equation of line 2x + 3y = 6. Write the co ordinates of the point where the line intersects X-axis and Y-axis.
question image
Asked by saee.shinde3069 | 31 Mar, 2024, 10:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
locate √2 on number line
Asked by rathoreraj7296 | 31 Mar, 2024, 08:09: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
ab is diameter of circle with centre o . CD is a code equal to the radius of the circle a c and b b when extend intersect at the point e prove that angle a e b is equals to 60 degree
Asked by divyanshibirla037 | 29 Mar, 2024, 03:26: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
5x=25 find x.
Asked by dhokwaltushar | 25 Mar, 2024, 04:26: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
expand(2x+1)³
Asked by durgavenkatlakshmi1 | 20 Mar, 2024, 03:56: 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
×