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.

Find the zeroes of the polynomial `f(x) = x^2 ˗ 2x ˗ 8` and verify the relation between its zeroes and coefficients
One zero of the polynomial `3x^3+16x^2 +15x-18 is 2/3` . Find the other zeros of the polynomial.
Find the zeroes of the polynomial `x^2 – 3x – m(m + 3)`
If the sum of the zeros of the quadratic polynomial `kx^2-3x + 5` is 1 write the value of k..
If ∝ and β are the zeros of the polynomial f(x) = `6x^2 + x - 2 `find the value of `(∝/β+∝/β) `
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.
The number of polynomials having zeroes as -2 and 5 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 ______.
If the zeroes of the quadratic polynomial ax² + bx + c, c # 0 are equal, then ______.
If one of the zeroes of a quadratic polynomial of the form x² + ax + b is the negative of the other, then it ______.
If p(x) is a polynomial of at least degree one and p(k) = 0, then k is known as ______.
A polynomial of degree n has ______.
If 4x² – 6x – m is divisible by x – 3, the value of m is exact divisor of ______.
The number of polynomials having zeroes as -2 and 5 is ______.
If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial.
The zeroes of the polynomial 3x2 + 11x – 4 are ______.
The zeroes of the quadratic polynomial 16x2 – 9 are ______.
The given linear polynomial y = f(x) has

