Forming quadratic equation whose two roots are known

The quadratic equation whose two roots are: 1 and 2 is .............

• $x^2-3\ x\ +\ 2$

• $x^2+3x\ +2$

• $x^2\ -3x\ -2$

• $x^2+3x-2$

 If L and M are the two roots of the equation :  $x^2\ -3x\ +1=0$  then the equation  whose roots are : L + M and LM  is ..............

•  $x^2+4x\ +3\ =\ 0$  

•  $x^2\ -3x+4\ =\ 0$  

•  $x^2-4x+3\ =\ 0$  

•  $x^3-4x^2+3x$  

If  $l\ ,\ l^2$  are two roots of equation  $2\ x^2\ +\ b\ x\ +54\ =\ 0$  then b = .........

• 36

• -24

• 27

• -12

The quadratic equation whose two roots are: -7 , 0 is .....................

• $x^2\ +\ 7\ x\ =\ 0$

• $x^2\ -\ 7\ =0$

• $x^2\ -\ 7x\ =\ 0$

• $x^2\$

If L and M are the two roots of the equation   $𝑥^2-8x+5=0$    then form the quadratic equation whose roots are   $\frac{1}{l},\ \frac{1}{m}$  is ..........

•  $𝒙^2−8x+1=0$  

•  $5𝒙^2−8x+1=0$  

•  $5𝒙^2−1x+8=0$  

•  $5𝒙^2+8x+1=0$  

The quadratic equation in which each of the two roots is twice one of the roots of the equation   $x^2–8x+5=0$  is ...................................... 

•  $x^2–\ 16\ x+20=0$  

•  $2x^2–16x+20=0$  

•  $x^2+16x+20=0$  

•  $2x^2–16x-20=0$  

 If L and M are the two roots of the equation     $𝑥^2-3x-1=0$  then the quadratic equation whose roots are   $l^2\ ,\ m^2$  is ............

•  $x^2\ +\ 11\ x\ -\ 1\ \ =\ 0$  

•  $x^2\ -x\ +\ 11\ =\ 0$  

•  $x^2\ +1\ -11x\ =\ 0$  

•  $x^2\ +\ 11\ x\ -1\ =\ 0\$