Advertisements
Advertisements
Question
If the sum of the zeros of the quadratic polynomial `kx^2-3x + 5` is 1 write the value of k..
Advertisements
Solution
By using the relationship between the zeroes of the quadratic polynomial.
We have
Sum of zeroes= `(-("Coefficient of x"))/(("Coefficient of" x^2))`
`⇒ 1=-(-3)/k`
`⇒k=3`
APPEARS IN
RELATED QUESTIONS
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) = x^2 ˗ 2x ˗ 8` 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.
One zero of the polynomial `3x^3+16x^2 +15x-18 is 2/3` . Find the other zeros of the polynomial.
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`.
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.
Write the zeros of the polynomial `f(x) = x^2 – x – 6`.
Find the zeroes of the quadratic polynomial `f(x) = 6x^2 – 3.`
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 = ?
If one of the zeroes of a quadratic polynomial of the form x² + ax + b is the negative of the other, then it ______.
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 p(x) is a polynomial of at least degree one and p(k) = 0, then k is known as ______.
If one of the zeroes of the quadratic polynomial (k -1)x² + kx + 1 the value of k is ______.
If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial.
The number of quadratic polynomials having zeroes –5 and –3 is ______.
