Home
Class 10
MATHS
Divide 4x^(2)-11x^(2)+7x-2 by 1+x-x^(2) ...

Divide `4x^(2)-11x^(2)+7x-2` by `1+x-x^(2)` and verify the division algorithm.
Note
Always write the divided and divisor in standard form i.e., decreasing order of the variable.

Text Solution

Verified by Experts

Here, dividend `=4x^(2)-11x^(2)+7x-2`
divisor `=1+x-x^(2)=-x^(2)+x+1`

`:. ` quatient =4x-7 and remainder =18x+5
Now, `"quatient"xx"divisor" +"remainder"=(-4x-7)(-x^(2)+x+1)+(18x+5)`
`=4x^(2)+3x^(2)+7x-2`=divised `" "` Hence Verified.
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    NAGEEN PRAKASHAN|Exercise Problems From NCERT/ Exemplar|11 Videos

  • POLYNOMIALS

    NAGEEN PRAKASHAN|Exercise Exercise 2a|28 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|8 Videos

  • PROBABILITY

    NAGEEN PRAKASHAN|Exercise Revision Exercise Very Short Answer/short Answer Questions|16 Videos

Similar Questions

Explore conceptually related problems

Divide 5x^(3)-13x^(2)+21x-14 by (3-2x+x^(2)) and verify the division algorithm.

Divide x^(4)+5x^(3)-x^(2)+4x-3 by x-2 and verify the division algorithm.

Divide 2x^(2)+4x^(3)+5x-6 by 2x^(2)+1+3x and verify the division algorithm

Divide 2x^(2)+x-5 by x+2 and verify the division algorithm.

Divide 3-x+2x^(2) by (2-x) and verify the division algorithm.

Divide 2x^(4)-9x^(3)+5x^(2)+3x-8 by x^(2)-4x+1 and verify the division by algorithm.

Divide x-4x38x2 t 7x10 by (x2) and verify the division algorithm.

Divide : ( x^(2) - 4x + 3 ) by ( x - 1 ) and verify the division algorithm.

Divide quad 3x^(2)+x^(3)-3x+5 by and verify the division algorithm.

Divide 4x^(3) + 8x^(2) - 9x + 6 by 2x + 3 and verify the division rule .