Factorisation & Quadratics

Factorise:
 $4b^5+4b^3+16b^2$  

•  $4b^2\left(b^3+b+4\right)$  

•  $4b^3\left(b^4+b^2+4\right)$  

•  $4\left(b^5+b^3+4b^2\right)$  

•  $4b^3\left(b^4+4b+5\right)$  

Write the factors of  $n^2+16n+63$    

•  $\left(n-7\right)\left(n+4\right)$  

•  $\left(9n+7\right)\left(n-9\right)$ 

•  $\left(n-3\right)\left(n-10\right)$  

•  $\left(n+7\right)\left(n+9\right)$  

 $\ What\ are\ the\ factors\ of\ \ \ 3v^2-4v-7$   

•  $\left(3v+1\right)\left(v-9\right)$  

•  $\left(3v-7\right)\left(v-1\right)$  

•  $\left(3v+1\right)\left(v+9\right)$  

•   $\left(3v-7\right)\left(v+1\right)$ 

Factorise by grouping  $x^3-4x^2-4x+16$  

•  $\left(x+4\right)\left(x+2\right)$  

•  $\left(x-4\right)\left(x^2-4\right)$  

•  $\left(x+4\right)\left(x^2-4\right)$  

•  $\left(x-4\right)\left(x-2\right)\left(x+2\right)$ 

 $Factorise\ 2x^2-13x-70$  

•  $\left(2x+7\right)\left(x+10\right)$  

•  $\left(7x+5\right)\left(x+2\right)$ 

•  $\left(2x+7\right)\left(x-10\right)$  

•  $2\left(x+7\right)\left(x-10\right)$ 

 $Simplify\ fully\ by\ finding\ factors\ of\ 2n^2-8n^4$  

•  $2n^2\left(n-4n^2\right)$  

•  $2n^2\left(1-4n^2\right)$  

•  $3n\left(1-4n\right)$  

•  $2n^2\left(1-2n\right)\left(1+2n\right)$  

 $\frac{6}{m}\times\frac{2m}{15a}$  

•  $\frac{6am}{10a}$  

•  $\frac{4}{5a}$  

•  $\frac{9ma}{3a}$  

•  $6m$  

 $\frac{9bc}{2a}\div\frac{6b}{4a}$  

•  $3c$ 

•  $\frac{9b}{4a}$  

•  $4a$ 

•  $\frac{2c}{b}$  

 $Some\ months\ have\ 30\ days,\ some\ have\ 31\ days.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Some\ months\ have\ 30\ days,\ some\ have\ 31\ days.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ How\ many\ months\ have\ 28\ days?$   $How\ many\ months\ have\ 28\ days?$  

•  $February$  

•  $1\ every\ 4\ years$  

•  $12$  

•  $1$  

​
   $\frac{3}{p}+\frac{4}{1-p}$  

•  $\frac{3+4p}{1-p}$  

•  $\frac{3+p}{1-p}$  

•  $\frac{3+p}{p\left(1-p\right)}$  
  

•  $3+4p^2$