Advertisements
Advertisements
प्रश्न
Find the sum of the zeros and the product of zeros of a quadratic polynomial, are `−1/2` and \ -3 respectively. Write the polynomial.
उत्तर
We can find the quadratic polynomial if we know the sum of the roots and product of the roots by using the formula
`x^2` – (sum of the zeroes)x + product of zeroes
We can find the quadratic polynomial if we know the sum of the roots and product of the roots by using the formula
`x^2 `– (sum of the zeroes)x + product of zeroes
`⇒ x^2-(-1/2)x+(-3)`
`⇒x^2+1/2x-3`
Hence, the required polynomial is `x^2+1/2x-3`
APPEARS IN
संबंधित प्रश्न
If one zero of the polynomial `x^2-4x+1 is (2+sqrt3)` , write the other zero.
Find the zeroes of the polynomial `x^2 + x – p(p + 1) `
If one zero of the quadratic polynomial `kx^2 + 3x + k is 2`, then find the value of k.
If -4 is a zero of the polynomial `x^2 – x – (2k + 2) is –4`, then find the value of k.
The number of polynomials having zeroes as -2 and 5 is ______.
The zeroes of the quadratic polynomial x² + 1750x + 175000 are ______.
If x3 + 1 is divided by x2 + 5, then the possible degree of quotient is ______.
If x4 + 3x2 + 7 is divided by 3x + 5, then the possible degrees of quotient and remainder are ______.
If the zeroes of the quadratic polynomial ax2 + bx + c, c ≠ 0 are equal, then ______.
The number of quadratic polynomials having zeroes –5 and –3 is ______.
