Ask a Doubt
Request a call back

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

CBSE Class 10 Answered

on dividing x3-5x2+18x-14 by a polynomial g (x), the quotient and remainder were -12x-11and x-1 respectively.Find g (x)
Asked by Chelsea Dhawan | 19 Jul, 2014, 11:36: PM
answered-by-expert Expert Answer

L e t space p left parenthesis x right parenthesis space equals space x cubed space minus 5 x squared space plus 18 x space minus 14 space b e space d i v i d e d space b y space p o l y n o m i a l space g left parenthesis x right parenthesis space t h e n space t h e space q u o t i e n t space i s space q left parenthesis x right parenthesis space equals space minus 12 x space minus 11 space i s space o b t a i n e d space a n d space r e m a i n d e r space r left parenthesis x right parenthesis space space equals space x space minus space 1. space N o w space b y space E u c l i d apostrophe s space D i v i s i o n space L e m m a comma p left parenthesis x right parenthesis space equals space g left parenthesis x right parenthesis. q left parenthesis x right parenthesis space plus space r left parenthesis x right parenthesis T h e n comma space g left parenthesis x right parenthesis space equals space fraction numerator p left parenthesis x right parenthesis space minus space r left parenthesis x right parenthesis over denominator q left parenthesis x right parenthesis end fraction space g left parenthesis x right parenthesis space equals space fraction numerator space x cubed space minus space 5 x squared space plus 18 x space minus 14 space minus space x space plus space 1 over denominator minus 12 x space minus space 11 end fraction g left parenthesis x right parenthesis space equals space fraction numerator space x cubed space minus space 5 x squared space plus 17 x space minus 13 over denominator minus 12 x space minus space 11 end fraction

Solving by long division method,

The above division does not satisfy the Euclids's lemma so the question posted by you is wrong.

Please repost the correct question, so that we can help you better.

Answered by Mili Hariyani | 21 Jul, 2014, 01:17: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
What should be added to the polynomial x^3 - 2x^2 -3x -4 so, that it is completely divisible by x^2 - x
Asked by mv716304 | 01 Apr, 2022, 05:16: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
x^2+2√2x-6
Asked by mahekk101 | 14 Sep, 2021, 08:24: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
if the two zeros of quadratic polynomial 7x²-15x-k are reciprocals of each other the value of k?
question image
Asked by bhavikabhatia1125 | 03 Aug, 2021, 10:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
If the polynomial 2x⁴ + x³ - 3x² +18x + 24 is divided by another polynomial x² + 3x - m and  the remainder comes out to be 4x + n. Find the value of m and n respectively.
Asked by Aasthaachd | 08 Jun, 2021, 01:39: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Divide x^4 -5x+6 by x^2 -2
Asked by rk4353620 | 05 Jun, 2021, 01:52: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Find whether 3x+2 is a factor of 3x^4+ 5x^3+ 13x-x^2 + 10
Asked by diyayadav1441 | 27 Jul, 2020, 03:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
If two of the zeroes of the polynomial f(x)=x4-4x3-20x2+104x-105 are 3+√2 and 3-√2,then use the division algorithm to find the other zeroes of f(x).
Asked by saiprathumnan35 | 26 Jun, 2020, 07:17: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
2x⁴+x³-14x²-15x-8 divide by x²+3x+2
Asked by Gurnoorsingh0852 | 03 Jun, 2020, 03:54: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Using division algorithm find the quotient and remainder of the following: I) x³-6x²+11x-6 by x²+x+1
Asked by renuneeraj2005 | 02 Jun, 2020, 11:00: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
if m and n are divided by 4 then 2 and 3 are respectively the remainders find the remainder when m square + n square is divided by 4
question image
Asked by dash.ak35 | 08 Apr, 2020, 01:19: 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
×