Ask a Doubt
Request a call back

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

CBSE Class 10 Answered

Please help me to solve this question  When x2  - 2x + k divides the polynomial x4 - 6x3 + 16x2 - 25x + 10, the remainder is (x + a) . The value of a is _______
Asked by ratendra.johri | 28 May, 2018, 08:00: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight P left parenthesis straight x right parenthesis space equals space straight x to the power of 4 space minus space 6 straight x cubed space plus space 16 space straight x to the power of 2 space end exponent minus 25 straight x space plus space 10 space is space divided space by space straight x squared space minus 2 straight x space plus straight k. Let space the space quotient space be space straight x squared thin space plus space bx space plus space straight c Remainder equals space straight x space plus space straight a space straight P left parenthesis straight x right parenthesis space equals space divisor space cross times quotient space plus space remainder rightwards double arrow straight P left parenthesis space straight x right parenthesis space equals left parenthesis space straight x squared space minus 2 straight x space plus straight k right parenthesis left parenthesis space straight x squared thin space plus space bx space plus space straight c right parenthesis space plus space left parenthesis straight x space plus space straight a space right parenthesis space equals space straight x to the power of 4 space plus space straight x cubed left parenthesis straight b minus 2 right parenthesis plus straight x squared left parenthesis space straight c minus space 2 straight b space plus space straight k right parenthesis space plus straight x space left parenthesis bk space minus 2 straight c space plus 1 right parenthesis space plus space ck space plus straight a On space space Comparing space straight P left parenthesis straight x right parenthesis comma space we space get space rightwards double arrow straight b space minus space 2 equals space minus 6 space rightwards double arrow straight b space equals space minus 4.... left parenthesis 1 right parenthesis left parenthesis space straight c minus space 2 straight b space plus space straight k right parenthesis space equals space 16 rightwards double arrow straight c space plus space straight k space equals space 8 space space....... left parenthesis 2 right parenthesis bk space minus 2 straight c space plus space 1 space equals negative 25 2 straight k space plus space straight c space equals space 13 space..... left parenthesis 3 right parenthesis After space soliving space left parenthesis 2 right parenthesis space and space left parenthesis 3 right parenthesis comma space we space get straight k space equals space 5 space and space straight c space equals space 3 equating space the space constant space terms comma space we space get ck space plus straight a space equals space 10 rightwards double arrow straight a space equals space minus 5. end style
Answered by Yasmeen Khan | 29 May, 2018, 11:48: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
cos80÷ sin10+cos59• cosec31
Asked by raopaidi | 25 Apr, 2024, 04:06: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
2/x+2/3y=1/6; 3/x+2/y=0
Asked by aditikaldate7 | 21 Apr, 2024, 03:16: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
ABCD is a rectangle in which diagonal AC is equals to 17 cm angle BCA is equals to thitha and sin theta is equals to 8/17 find the area of rectangle ABCDE (ii) the perimeter of rectangle ABCD
Asked by pathaksuman622 | 21 Apr, 2024, 11:56: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
PQ is a chord of length 8 cm to a circle of radius 5 cm. The tangents P and Q intersect at a point T. Find the length of the tangent TP.
Asked by yalagondanikhil | 16 Apr, 2024, 12:25: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
if one of the zeroes of quadratic polynomial F(x) = 4x² - 8kx - 9 is equal in magnitude but opposite in sign, find K
Asked by rrajansinghakb199 | 08 Apr, 2024, 05:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
express 15.265 in p/q form?
Asked by nagalaxmidurgarao937 | 08 Apr, 2024, 01:42: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
the poles AB and CD of different heights are standing vertically on the ground level from a point P on the line joining the foots of the pole on the level of ground the angle of elevation to the top of the pole are founded to be complementary the of the CD and the distance PD 20√3m and 20m respectively if the BP is 10m then find the length of AB and the distance AC between the tpo of the poles
Asked by mraniruddha03 | 02 Apr, 2024, 06:44: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
from the pair of linear equations in the following problems and find their solution graphically 10 students of class 10 to part in a mathematic quiz if the number of girls is for more than the number of boys find the number of boys and girls who took part in the quiz
Asked by muttenenimalleswarrao | 29 Mar, 2024, 08:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
maths
question image
Asked by sonawnerohan01 | 23 Mar, 2024, 12:25: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
The distance of the point (5,-2) from x-axis will be :-
Asked by pathakvaishnavi9139 | 23 Mar, 2024, 10:45: AM
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
×