Advertisements
Advertisements
प्रश्न
Find ∝ , β are the zeros of polynomial ∝ +β= 6 and ∝β 4 then write the polynomial.
Advertisements
उत्तर
If the zeroes of the quadratic polynomial are 𝛼 and 𝛽 then the quadratic polynomial can be found as `x^2-(∝+β)x+∝β` ......................(1)
Substituting the values in (1), we get
`x^2-6x+4`
APPEARS IN
संबंधित प्रश्न
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x).
Find the zeroes of the polynomial `f(x) = x^2 ˗ 2x ˗ 8` and verify the relation between its zeroes and coefficients
Obtain all other zeroes of `(x^4 + 4x^3 – 2x^2 – 20x – 15)` if two of its zeroes are `sqrt5 and –sqrt5.`
If 3 is a zero of the polynomial `2x^2 + x + k`, find the value of k.
Write the zeros of the polynomial `f(x) = x^2 – x – 6`.
Find the sum of the zeros and the product of zeros of a quadratic polynomial, are `−1/2` and \ -3 respectively. Write the polynomial.
Find the zeroes of the quadratic polynomial `f(x) = 6x^2 – 3.`
Find the value of k such that the polynomial x2-(k +6)x+ 2(2k - 1) has some of its zeros equal to half of their product.
If the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and –3, then ______.
10. The zeroes of the quadratic polynomial x² + kx + k, k? 0.
If one of the zeroes of the cubic polynomial x3 + px² + qx + r is -1, then the product of the other two zeroes is ______.
If f(x) = 5x - 10 is divided by x – `sqrt2`, then the remainder will be ______.
The number of polynomials having zeroes as -2 and 5 is ______.
The zeroes of the quadratic polynomial x2 + kx + k, k ≠ 0 ______.
Which of the following is not the graph of a quadratic polynomial?
The given linear polynomial y = f(x) has
