R. D. Sharma Solutions for Chapter: Factorization of Algebraic Expressions, Exercise 6: MULTIPLE CHOICE QUESTIONS (MCQs)

The factors of $a^2-1-2x-x^2$, are

The factors of $x^4+x^2+25$, are

The factors of $x^2+4y^2+4y-4xy-2x-8$ are

The factors of $x^3-7x+6$ are

Mark the correct alternative:

The expression $x^4+4$ can be factorized as

If $3x=a+b+c$, then the value of ${\left(x-a\right)}^3+{\left(x-b\right)}^3+{\left(x-c\right)}^3-3\left(x-a\right)\left(x-b\right)\left(x-c\right)$, is

Mark the correct alternative:

If ${\left(x+y\right)}^3-{\left(x-y\right)}^3-6y\left(x^2-y^2\right)=k{y}^3$, then $k=$

If $x^3-3x^2+3x-7=\left(x+1\right)\left(a{x}^2+bx+c\right)$, then $a+b+c=$