Advertisements
Advertisements
प्रश्न
If -2 is a zero of the polynomial `3x^2 + 4x + 2k` then find the value of k.
Advertisements
उत्तर
Given: x = –2 is one zero of the polynomial `3x^2 + 4x + 2k`
Therefore, it will satisfy the above polynomial.
Now, we have
`3(–2)^2 + 4(–2)1 + 2k = 0`
`⇒ 12 – 8 + 2k = 0`
`⇒ k = – 2`
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).
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 zeros of the polynomial `f(x) = x^2 + 7x + 12` and verify the relation between its zeroes and coefficients.
Find the zeroes of the polynomial `x^2 + x – p(p + 1) `
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 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 zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is ______.
A quadratic polynomial, whose zeroes are -3 and 4, is ______.
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 ______.
If x3 + 11 is divided by x2 – 3, then the possible degree of remainder is ______.
If one of the zeroes of the quadratic polynomial (k -1)x² + kx + 1 the value of k is ______.
A polynomial of degree n has ______.
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 the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial.
The graph of y = f(x) is shown in the figure for some polynomial f(x). The number of zeroes of f(x) are ______.
