Advertisements
Advertisements
प्रश्न
If –4 is a zero of the polynomial x2 – x – (2k + 2) is –4, then find the value of k.
Advertisements
उत्तर
Given: x = –4 is one zero of the polynomial x2 – x – (2k + 2)
Therefore, it will satisfy the above polynomial.
Now, we have
(–4)2 – (–4) – (2k + 2) = 0
⇒ 16 + 4 – 2k – 2 = 0
⇒ 2k = –18
⇒ k = 9
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).

One zero of the polynomial 3x3 + 16x2 + 15x – 18 is `2/3`. Find the other zeros of the polynomial.
Find all the zeroes of `(2x^4 – 3x^3 – 5x2 + 9x – 3)`, it is being given that two of its zeroes are `sqrt3 and –sqrt3`.
Find α, β are the zeros of polynomial α + β = 6 and αβ = 4 then write the polynomial.
If one zero of the quadratic polynomial kx2 + 3x + k is 2, then find the value of k.
If the sum of the zeros of the quadratic polynomial kx2 – 3x + 5 is 1, write 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 zeroes of the quadratic polynomial f(x) = 6x2 – 3.
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.
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 ______.
A quadratic polynomial, whose zeores are -4 and -5, is ______.
The zeroes of the quadratic polynomial x² + 1750x + 175000 are ______.
If p(x) is a polynomial of at least degree one and p(k) = 0, then k is known as ______.
If one of the zeroes of the quadratic polynomial (k -1)x² + kx + 1 the value of k 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
The number of polynomials having zeroes as -2 and 5 is ______.
Which of the following is not the graph of 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) is ______.
