Rupesh Pathak and Vaishali Bhatia Solutions for Chapter: Algebraic Expressions, Exercise 6: Exercise 6.5

Divide by long division method.

$x^2+4x+4$ by $x+2$

Divide by long division method.

$16p^2-9n^2$ by $4p-3n$

Divide by long division method.

$9a^2-24ab+16b^2$ by $3a-4b$

Divide by long division method.

$x^2+7x+12$ by $x+3$

Divide by long division method.

$x^2+5x+6$ by $x+2$

Divide by long division method.

$6x^5-x^4+4x^3-5x^2-x-15$ by $2x^2-x+3$

What must be subtracted from $8x^4+14x^3-2x^2+7x-8$, so that the resulting polynomial is divisible by $4x^2+3x-2$?

Find the value of $a$ if $x+2$ is a factor of $4x^4+2x^3-3x^2+8x+5a$.