Advertisements
Advertisements
प्रश्न
If the sum of the zeros of the quadratic polynomial `kx^2-3x + 5` is 1 write the value of k..
Advertisements
उत्तर
By using the relationship between the zeroes of the quadratic polynomial.
We have
Product of zeroes=`("Constant term")/("Coefficient of "x^2)`
`⇒ =k/1`
`⇒ k=3`
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), in the following.

The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x).

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) = x2 – 2x – 8 and verify the relation between its zeroes and coefficients.
Find the zeroes of the quadratic polynomial f(x) = x2 + 3x – 10 and verify the relation between its zeroes and coefficients.
Find the zeros of the polynomial x2 + x – p(p + 1).
If one zero of the quadratic polynomial kx2 + 3x + k is 2, 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) = 6x2 – 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 one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is ______.
If one of the zeroes of the cubic polynomial x3 + ax2 + bx + c is -1, then the product of the
other two zeroes is ______.
If x4 + 3x2 + 7 is divided by 3x + 5, then the possible degrees of quotient and remainder are ______.
If one of the zeroes of the quadratic polynomial (k -1)x² + kx + 1 the value of k is ______.
If f(x) = 5x - 10 is divided by x – `sqrt2`, then the remainder will be ______.
If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial.
If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial.
If the zeroes of the quadratic polynomial ax2 + bx + c, c ≠ 0 are equal, then ______.
If α and β are the zeroes of the polynomial x2 + x − 2, then find the value of `alpha/beta+beta/alpha`
