Algebra RT

The sum of the roots of the equation   $x^2-kx+k^2=0$  is

• K

• -K

•  $K^2$  
  

•  $-K^2$  

If S and P are the sum and the product of roots of a quadratic equation, then the quadratic equation is

• $x^2+Sx-P=0$

• $x^2-Sx+P=0$

• $x^2-Sx-P=0$

• $x^2+Sx+P=0$

The equation whose roots are $4+√5\ and\ 4-√5$  is

•  $x^2+x+11=0$  

•  $x^2-8x+11=0$  

•  $x^2-6x+11=0$  

•  $x^2-4x+11=0$  

If one root of the equation $x^2-3x+a=0$ is 2  $a=?$  

 

• 0

• 1

• 2

• 3

If $α,β$ are the roots of  $2x^2-4x+5=0$  then,  $α^2β+αβ^2=?$  

• 1

• -1

• 5

• 2

If one root of the equation $(b-c)x2+(c-a)x+(a–b)=0$  is double of the other then _______

  

•  $2(a-c)^2=9(a-b)(b-c)$  

•  $(a-c)^2=(a-b)(b-c)$  

•  $(a-c)=(a-b)(b-c)$  

•  $(a-c)=(a-b)2(b-c)^2$  

For what value of $∝$  the division of  $x3+∝x2-7x+6$  by $x+2$  yield remainder -4

• -4

• 4

• 16

• -6

If $ω$  is a cube root of unity, then  $(2+ω)(2+ω^2)=$  

• 1

• 2

• 3

• 0

Remainder of  $x^{24}+x^{24}+1$  when divided by  $x+1$  is;

• 0

• 1

• 2

• 3

If the Sum of roots of the equation $λx^2+6x+(2λ-1)=0$  is -1, then the value of  $\gamma$  is;

• -1

•  $-\frac{1}{3}$  

•  $\frac{1}{3}$  

•  $6$