Advertisements
Advertisements
प्रश्न
If one zero of the quadratic polynomial `kx^2 + 3x + k is 2`, then find the value of k.
Advertisements
उत्तर
Given: x = 2 is one zero of the quadratic polynomial `kx^2 + 3x + k`
Therefore, it will satisfy the above polynomial.
Now, we have
`k(2)^2 + 3(2) + k = 0`
⇒ 4k + 6 + k = 0
⇒ 5k + 6 = 0
⇒ k=`-6/5`
APPEARS IN
संबंधित प्रश्न
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.
Obtain all other zeroes of `(x^4 + 4x^3 – 2x^2 – 20x – 15)` if two of its zeroes are `sqrt5 and –sqrt5.`
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 zeroes of the polynomial `f(x) = x^3 – 3x^2 + x + 1` are (a – b), a and (a + b), find the values of a and b.
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 the zeroes of the quadratic polynomial ax² + bx + c, c # 0 are equal, then ______.
A quadratic polynomial, whose zeores are -4 and -5, is ______.
The zeroes of the quadratic polynomial x² + 1750x + 175000 are ______.
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 f(x) = 5x - 10 is divided by x – `sqrt2`, then the remainder will be ______.
The number of polynomials having zeroes as -2 and 5 is ______.
If α and β are the zeroes of the polynomial x2 – 1, then the value of (α + β) is ______.
The number of polynomials having zeroes – 3 and 4 is ______.
The zeroes of the quadratic polynomial 16x2 – 9 are ______.
