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
Sum of zeroes= `(-("Coefficient of x"))/(("Coefficient of" x^2))`
`⇒ 1=-(-3)/k`
`⇒k=3`
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).
Obtain all other zeroes of `(x^4 + 4x^3 – 2x^2 – 20x – 15)` if two of its zeroes are `sqrt5 and –sqrt5.`
Find all the zeroes of polynomial `(2x^4 – 11x^3 + 7x^2 + 13x – 7)`, it being given that two of its zeroes are `(3 + sqrt2) and (3 – sqrt2)`.
Find the zeroes of the polynomial `x^2 – 3x – m(m + 3)`
Write the zeros of the polynomial `f(x) = x^2 – x – 6`.
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 the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and –3, then ______.
Given that one of the zeroes of the cubic polynomial ax3 + bx2 + cx + d is zero, the product of the other two zeroes is ______.
The zeroes of the quadratic polynomial x2 + 99x + 127 are ______.
A quadratic polynomial, whose zeores are -4 and -5, is ______.
If one of the zeroes of the cubic polynomial x3 + px² + qx + r is -1, then the product of the other two zeroes is ______.
Consider the following statements.
- x – 2 is a factor of x3 – 3x² + 4x – 4.
- x + 1 is a factor of 2x3 + 4x + 6.
- x – 1 is a factor of x5 + x4 – x3 + x² -x + 1.
In these statements
If 4x² – 6x – m is divisible by x – 3, the value of m is exact divisor of ______.
The zeroes of the quadratic polynomial x2 + kx + k, k ≠ 0 ______.
If the zeroes of the quadratic polynomial ax2 + bx + c, c ≠ 0 are equal, then ______.
Which of the following is not the graph of a quadratic polynomial?
The number of polynomials having zeroes – 3 and 4 is ______.
The zeroes of the quadratic polynomial 16x2 – 9 are ______.
