Advertisements
Advertisements
Question
If the sum of the zeros of the quadratic polynomial kx2 – 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).
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) = 5x2 – 4 – 8x and verify the relationship between the zeroes and coefficients of the given polynomial.
Obtain all other zeroes of (x4 + 4x3 – 2x2 – 20x – 15) if two of its zeroes are `sqrt(5)` and `-sqrt(5)`.
Find the zeros of the polynomial x2 – 3x – m(m + 3).
If the sum of the zeros of the quadratic polynomial `kx^2-3x + 5` is 1 write the value of k..
If α, β are the zeroes of the polynomial f(x) = x2 – 5x + k such that α – β = 1, find the value of k = ?
The number of polynomials having zeroes as -2 and 5 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 ______.
The zeroes of the quadratic polynomial x2 + 99x + 127 are ______.
If x3 + 1 is divided by x2 + 5, then the possible degree of quotient is ______.
If x3 + 11 is divided by x2 – 3, then the possible degree of remainder 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 cubic polynomial x3 + px² + qx + r is -1, then the product of the other two zeroes is ______.
If p(x) is a polynomial of at least degree one and p(k) = 0, then k is known as ______.
The zeroes of the quadratic polynomial x2 + kx + k, k ≠ 0 ______.
The number of polynomials having zeroes – 3 and 4 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 ______.
The graph of y = f(x) is shown in the figure for some polynomial f(x). The number of zeroes of f(x) are ______.
