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), 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).
Find the zeroes of the quadratic polynomial `f(x) = x^2 + 3x ˗ 10` and verify the relation between its zeroes and coefficients.
One zero of the polynomial `3x^3+16x^2 +15x-18 is 2/3` . Find the other zeros of the polynomial.
If one zero of the polynomial `x^2-4x+1 is (2+sqrt3)` , write the other zero.
Find the zeroes of the polynomial `x^2 – 3x – m(m + 3)`
Find ∝ , β are the zeros of polynomial ∝ +β= 6 and ∝β 4 then write the polynomial.
If one zero of the quadratic polynomial `kx^2 + 3x + k is 2`, then find the value of k.
If 1is a zero of the quadratic polynomial `ax^2 – 3(a – 1)x – 1`is 1, then find the value of a.
If -2 is a zero of the polynomial `3x^2 + 4x + 2k` then 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.
Find the value of k such that the polynomial x2 − (k + 6)x + 2(2k −1) has sum 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 x2 + (a + 1) x + b are 2 and –3, then ______.
If x3 + 11 is divided by x2 – 3, then the possible degree of remainder 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?
The given linear polynomial y = f(x) has
