Relationship Between Zeroes and Coefficients of a Quadratic Polynomial
Trending Questions
Q. The quadratic polynomial whose sum and product of the zeroes is 9 and 19 respectively is .
- x2+9x-19
- x2-9x+19
- -x2-9x+19
- 9x2-9x+19
Q. The quadratic polynomial whose sum and product of the zeroes is 9 and 19 respectively is .
- x2-9x+19
- x2+9x-19
- -x2-9x+19
- 9x2-9x+19
Q. Zeroes of quadratic polynomials are given on the left. Match them with the respective quadratic polynomials.
- x2−2x−24
- x2−10x+25
- 64x2−1
- x2+x−30
Q.
Find the quadratic polynomial whose sum of its zeroes (roots) is −85 and the product of the zeroes (roots) is 75.
14x2+7x+5
5x2+8x+7
2x2−8x+7
5x2−8x+7
Q. The polynomial whose zeroes are 5+√33, 5−√33 is .
- 9x2-30x+22
- 9x2+30x+22
- x2+30x+22
Q.
If α, β are the zeroes of the polynomial x2−px+36 and α2+β2 = 9, then what is the value of p?
±6
±3
±8
±9
Q. The sum and product of zeroes of a quadratic polynomial ax2+bx+c respectively are and .
- -ba
- ca
- ba
- -ca
Q. If -2 and -4 are the zeroes of a quadratic polynomial whose leading coefficient is 2, then find the value of (product of zeroes × coefficient of x).
[Note: In a polynomial, the term containing the highest power of x (i.e. anxn) is the leading term, and we call an the leading coefficient.]
[Note: In a polynomial, the term containing the highest power of x (i.e. anxn) is the leading term, and we call an the leading coefficient.]
- 96
- -96
- 16
- -16
Q. Find the sum and product of roots of the polynomial 2x2+x−5=0.
- −12, 52
- 2, 5
- −12, −52
- −12, 52
Q.
Find a quadratic polynomial with 18 as the sum and 2 as product of its zeroes.
8x2+x+16
8x2−x+16
8x2−x−16
8x2+x−16