Advertisements
Advertisements
प्रश्न
If 1is a zero of the quadratic polynomial `ax^2 – 3(a – 1)x – 1`is 1, then find the value of a.
Advertisements
उत्तर
Given: x = 1 is one zero of the polynomial `ax^2 – 3(a – 1) x – 1`
Therefore, it will satisfy the above polynomial.
Now, we have
`a(1)^2 – (a – 1)1 – 1 = 0`
`⇒ a – 3a + 3 – 1 = 0`
`⇒ –2a = – 2`
`⇒ a = 1`
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).
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.
One zero of the polynomial `3x^3+16x^2 +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`.
If 3 is a zero of the polynomial `2x^2 + x + k`, find the value of k.
If -4 is a zero of the polynomial `x^2 – x – (2k + 2) is –4`, then find the value of k.
Write the zeros of the polynomial `f(x) = x^2 – x – 6`.
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.
The number of polynomials having zeroes as -2 and 5 is ______.
If the zeroes of the quadratic polynomial ax² + bx + c, c # 0 are equal, then ______.
If x4 + 3x2 + 7 is divided by 3x + 5, then the possible degrees of quotient and remainder are ______.
A polynomial of degree n has ______.
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 quadratic polynomial x2 + kx + k, k ≠ 0 ______.
The number of quadratic polynomials having zeroes –5 and –3 is ______.
The graph of y = f(x) is shown in the figure for some polynomial f(x). The number of zeroes of f(x) are ______.
