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
Find all the zeroes of `(2x^4 – 3x^3 – 5x2 + 9x – 3)`, it is being given that two of its zeroes are `sqrt3 and –sqrt3`.
Find all the zeroes of polynomial `(2x^4 – 11x^3 + 7x^2 + 13x – 7)`, it being given that two of its zeroes are `(3 + sqrt2) and (3 – sqrt2)`.
If -2 is a zero of the polynomial `3x^2 + 4x + 2k` then find the value of k.
If 𝛼 and 𝛽 be the zeroes of the polynomial `2x^2 - 7x + k` write the value of (𝛼 + 𝛽 + 𝛼𝛽).
Find the zeroes of the quadratic polynomial `f(x) = 6x^2 – 3.`
Find the zeroes of the quadratic polynomial `f(x) = 4sqrt3x^2 + 5x – 2sqrt3`.
If 𝛼, 𝛽 are the zeroes of the polynomial `f(x) = x^2 – 5x + k` such that 𝛼 - 𝛽 = 1, find the value of k = ?
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 one of the zeroes of the quadratic polynomial (k – 1) x2 + kx + 1 is - 3, then the value of k is ______.
If the zeroes of the quadratic polynomial ax² + bx + c, c # 0 are equal, then ______.
A quadratic polynomial, whose zeores are -4 and -5, is ______.
The zeroes of the quadratic polynomial x² + 1750x + 175000 are ______.
If x3 + 11 is divided by x2 – 3, then the possible degree of remainder is ______.
A polynomial of degree n has ______.
Consider the following statements.
- x – 2 is a factor of x3 – 3x² + 4x – 4.
- x + 1 is a factor of 2x3 + 4x + 6.
- x – 1 is a factor of x5 + x4 – x3 + x² -x + 1.
In these statements
If 4x² – 6x – m is divisible by x – 3, the value of m is exact divisor of ______.
The graph of y = f(x) is shown in the figure for some polynomial f(x).
The number of zeroes of f(x) is ______.
The zeroes of the quadratic polynomial 16x2 – 9 are ______.
If α and β are the zeroes of the polynomial x2 + x − 2, then find the value of `alpha/beta+beta/alpha`
