Advertisements
Advertisements
प्रश्न
If 1 is a zero of the quadratic polynomial ax2 – 3(a – 1)x – 1 is 1, then find the value of a.
Advertisements
उत्तर
Given: x = 1 is one zero of the polynomial ax2 – 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 polynomial f(x) = x2 – 2x – 8 and verify the relation between its zeroes and coefficients.
Find the zeroes of the quadratic polynomial f(x) = x2 + 3x – 10 and verify the relation between its zeroes and coefficients.
Obtain all other zeroes of (x4 + 4x3 – 2x2 – 20x – 15) if two of its zeroes are `sqrt(5)` and `-sqrt(5)`.
Find the zeros of the polynomial x2 – 3x – m(m + 3).
If –2 is a zero of the polynomial 3x2 + 4x + 2k, then find the value of k.
Write the zeros of the polynomial f(x) = x2 – x – 6.
If 𝛼 and 𝛽 be the zeroes of the polynomial `2x^2 - 7x + k` write the value of (𝛼 + 𝛽 + 𝛼𝛽).
Find the sum of the zeros and the product of zeros of a quadratic polynomial are `-1/2` and –3 respectively. Write the polynomial.
If one of the zeroes of the quadratic polynomial (k – 1) x2 + kx + 1 is - 3, then the value of k is ______.
The number of polynomials having zeroes as -2 and 5 is ______.
The zeroes of the quadratic polynomial x² + 1750x + 175000 are ______.
If one of the zeroes of the cubic polynomial x3 + px² + qx + r is -1, then the product of the other two zeroes is ______.
If f(x) = 5x - 10 is divided by x – `sqrt2`, then the remainder will be ______.
The zeroes of the polynomial 3x2 + 11x – 4 are ______.
The graph of y = f(x) is shown in the figure for some polynomial f(x). The number of zeroes of f(x) are ______.

The given linear polynomial y = f(x) has

