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
Find the zeroes of the quadratic polynomial `f(x) = x^2 + 3x ˗ 10` and verify the relation between its zeroes and coefficients.
Find the zeroes of the quadratic polynomial `f(x) = 5x^2 ˗ 4 ˗ 8x` and verify the relationship between the zeroes and coefficients of the given polynomial.
If f(x) =`x^3-3x+5x-3` is divided by g(x)=`x^2-2`
If 3 is a zero of the polynomial `2x^2 + x + k`, find the value of k.
If the sum of the zeros of the quadratic polynomial `kx^2-3x + 5` is 1 write the value of k..
Find the sum of the zeros and the product of zeros of a quadratic polynomial, are `−1/2` and \ -3 respectively. Write the polynomial.
If the zeroes of the polynomial `f(x) = x^3 – 3x^2 + x + 1` are (a – b), a and (a + b), find the values of a and b.
If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is ______.
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 + 1 is divided by x2 + 5, then the possible degree of quotient is ______.
If 4x² – 6x – m is divisible by x – 3, the value of m is exact divisor of ______.
Which of the following is not the graph of a quadratic polynomial?
If α and β are the zeroes of the polynomial x2 – 1, then the value of (α + β) is ______.
The graph of y = f(x) is shown in the figure for some polynomial f(x).

The number of zeroes of f(x) is ______.
