Jagat Jitendra Matto Solutions for Chapter: Factorisation, Exercise 8: EXERCISE 7.8

 Divide : $2{\mathrm{x}}^3-5{\mathrm{x}}^2+11\mathrm{x}+7\text{ by }2\mathrm{x}+1$

Divide :  $6{\mathrm{x}}^4-{\mathrm{x}}^3-28{\mathrm{x}}^2+47\mathrm{x}-28\text{ by }3{\mathrm{x}}^2-5\mathrm{x}+4$

Find the quotient and remainder when we divide :

${\mathrm{x}}^4+8\mathrm{x}+15\text{ by }{\mathrm{x}}^2-2\mathrm{x}+2$

Find the quotient and remainder when we divide :

${\mathrm{x}}^4+{\mathrm{x}}^2\text{ by }{\mathrm{x}}^2-2$

Find the quotient and remainder when we divide :

$6{\mathrm{a}}^3-{\mathrm{a}}^2-10\mathrm{a}-3\text{ by }2\mathrm{a}-3$

Find the quotient and remainder when we divide :

$14{\mathrm{x}}^2+13\mathrm{x}-15\text{ by }7\mathrm{x}-4$

If ${\mathrm{x}}^3+1$is a factor of ${\mathrm{x}}^5+{\mathrm{x}}^4+{\mathrm{x}}^3+{\mathrm{x}}^2+\mathrm{x}+1$, what is the other factor?

If $4 \mathrm{x}-3$ is a factor of $8{\mathrm{x}}^2+14\mathrm{x}-15$, find the other factor.