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), 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 all the zeroes of `(2x^4 – 3x^3 – 5x2 + 9x – 3)`, it is being given that two of its zeroes are `sqrt3 and –sqrt3`.
Obtain all other zeroes of `(x^4 + 4x^3 – 2x^2 – 20x – 15)` if two of its zeroes are `sqrt5 and –sqrt5.`
If -4 is a zero of the polynomial `x^2 – x – (2k + 2) is –4`, 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..
A quadratic polynomial, whose zeroes are -3 and 4, is ______.
If one of the zeroes of a quadratic polynomial of the form x² + ax + b is the negative of the other, then it ______.
A quadratic polynomial, whose zeores are -4 and -5, is ______.
If x3 + 11 is divided by x2 – 3, then the possible degree of remainder is ______.
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 ______.
A polynomial of degree n has ______.
If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial.
If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial.
If α and β are the zeroes of the polynomial x2 – 1, then the value of (α + β) is ______.
The given linear polynomial y = f(x) has
