Factorization

What is the factorised form of

 $\left(49-7x\right)$  

•  $7\left(7-7x\right)$  

•  $\left(49-7\right)x$  

•  $7\left(7-x\right)$  

•  $49-7x$  

What is the common factor of

 $6abc,\ 24ab^2c\$  and  $12a^2bc$ ?

•  $6ab$  

•  $6abc$  

•  $6a^2bc$  

•  $6ab^2c$  

Which of the following is not true?

• $p^2-16p+64$ is a perfect square.

• $p^2-16$ can be expressed as the difference between two squares.

• $\left(a-3\right)$ and $\left(a-5\right)$ are the factors of $a^2-8a+15$ .

• $3x-12$ cannot be further factorised.

 

What is the product of  $\left(3p+q\right)\left(r+2s\right)$ ?

•  $3pq+qr+6ps+2qs$  

•  $3pr+qr+6ps+2qs$  

•  $3pq+qr+6qs+2ps$  

•  $3pr+qs+6ps+2qr$  

Which of the following algebraic expressions can be factorised by using the given identity:  $\left(x+a\right)\left(x+b\right)=x^2+x\left(a+b\right)+ab$  ?

•  $x^2+18xy+81y^2$  

•  $x^2-8xy+16y^2$  

•  $x^2-25$  

•  $x^2+15xy+36y^2$  

What would be the value of the expression  $x^2-6x-15$  on substituting  $x=\ -2$ ?

• 1

•  $-1$  

•  $-31$  

•  $-23$  

What are the factors of  $a^2+11a+30?$  

•  $\left(a+6\right)\left(a+5\right)$  

•  $\left(a-6\right)\left(a-5\right)$  

•  $\left(a+15\right)\left(a+2\right)$  

•  $\left(a+10\right)\left(a+3\right)$  

If one of the factor of  $p^2-p-132$  is  $\left(p-12\right)$ ,  what is the other factor? 

•  $\left(p-11\right)$  

•  $\left(p+11\right)$  

•  $\left(p+12\right)$  

•  $3\left(p+11\right)$  

The area of a rectangular field is  $\left(2x^2-3x-20\right)$ sq. units. If the length of the field is  $\left(2x+5\right)$  units, what is the breadth of the field?

•  $\left(x-4\right)\$  units

•  $\left(x+4\right)$  units

•  $\left(2x-5\right)$  units

•  $\left(x-5\right)$  

 $1,\ 9,\ x,\ y,\ xy\$  and $\ 9xy$   are all the possible factors of  $9xy.$  

• True

• False