Advertisements
Advertisements
प्रश्न
Write the zeros of the polynomial `f(x) = x^2 – x – 6`.
Advertisements
उत्तर
`f(x) = x^2 – x – 6`
`= x^2 – 3x + 2x – 6`
`= x(x – 3) + 2(x – 3)`
`= (x – 3) (x + 2)`
`f(x) = 0 ⇒ (x – 3) (x + 2) = 0`
`⇒ (x – 3) = 0 or (x + 2) = 0`
`⇒ x = 3 or x = –2`
So, the zeroes of f(x) are 3 and –2.
APPEARS IN
संबंधित प्रश्न
Find the zeroes of the quadratic polynomial `f(x) = x^2 + 3x ˗ 10` 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.
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.
If -2 is a zero of the polynomial `3x^2 + 4x + 2k` 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..
If 𝛼 and 𝛽 be the zeroes of the polynomial `2x^2 - 7x + k` write the value of (𝛼 + 𝛽 + 𝛼𝛽).
Find the zeroes of the quadratic polynomial `f(x) = 4sqrt3x^2 + 5x – 2sqrt3`.
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 ______.
If one of the zeroes of a quadratic polynomial of the form x² + ax + b is the negative of the other, then it ______.
If x3 + 11 is divided by x2 – 3, then the possible degree of remainder is ______.
If one of the zeroes of the quadratic polynomial (k -1)x² + kx + 1 the value of k is ______.
The number of polynomials having zeroes as -2 and 5 is ______.
If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial.
If the zeroes of the quadratic polynomial ax2 + bx + c, c ≠ 0 are equal, then ______.
Which of the following is not the graph of a quadratic polynomial?
The given linear polynomial y = f(x) has
