Relationship Between Roots and Coefficients of Quadratic Equation
Trending Questions
Q. The sum and product of zeroes of a quadratic polynomial ax2+bx+c respectively are and .
- -ba
- ca
- ba
- -ca
Q. If x and y are the roots of the polynomial 4k2+5k+6, then match the follwing with their values.
- −54
- 32
- −56
Q. If p and q are the roots of 2x2+3x+4 = 0, them p2q+q2p = .
- -3
- -4
- 8
- 16
Q. Arrange the following equations based on the ascending order of sum of their roots.(Top to bottom direction)
- x2−6x+8=0
- x2−4x+4=0
- x2−8x+16=0
- x2−2x+1=0
Q. The sum of roots and product of roots respectively for the polynomial 2x2+x−5=0 are and .
- -12
- 52
- 12
- -52
Q. a and b are the zeroes of a quadratic polynomial p(x), and k is any constant. Then general form of polynomial is .
- kx2+(a+b)x+ab
- kx2+k(a+b)x+kab
- kx2−k(a+b)x+kab
Q. Find the quadratic equation whose sum of roots is 5 and whose product of roots is 6.
- x2+5x+6
- x2−5x+6
- x2+6x+5
- x2−6x+5
Q. Find the sum of roots and product of roots respectively for the polynomial :
2x2+x−5=0
2x2+x−5=0
- −12, 52
- 2, 5
- −12, −52
- −12, 52
Q. If α & β are the zeroes of a quadratic polynomial p(x), and k is any constant, then what is the general form of the polynomial?
- k[x2−(α+β)x+αβ]
- kx2−(α+β)x−αβ
- kx2+(α+β)x−αβ
- k2x2+k(α+β)x+kαβ
Q. If α and β are the zeroes of p(x)=4x2+10x+k such that α2+β2+αβ=214, then k =
- 12
- 4
- 2
- - 12