Advertisements
Advertisements
प्रश्न
Find the zeroes of the polynomial `x^2 – 3x – m(m + 3)`
उत्तर
`f(x) = x^2 – 3x – m (m + 3)`
By adding and subtracting mx, we get
`f(x) = x^2 – mx – 3x + mx – m (m + 3)`
=` x[x – (m + 3)] + m[x – (m + 3)]`
= `[x – (m + 3)] (x + m)`
`f(x) = 0 ⇒ [x – (m + 3)] (x + m) = 0`
`⇒ [x – (m + 3)] = 0 or (x + m) = 0`
`⇒ x = m + 3 or x = –m`
So, the zeroes of f(x) are –m and +3.
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).
Find the zeroes of the quadratic polynomial `f(x) = x^2 + 3x ˗ 10` and verify the relation between its zeroes and coefficients.
If one zero of the polynomial `x^2-4x+1 is (2+sqrt3)` , write the other zero.
If -4 is a zero of the polynomial `x^2 – x – (2k + 2) is –4`, then find the value of k.
If 1is a zero of the quadratic polynomial `ax^2 – 3(a – 1)x – 1`is 1, then find the value of a.
If the sum of the zeros of the quadratic polynomial `kx^2-3x + 5` is 1 write the value of k..
If one of the zeroes of the quadratic polynomial (k – 1) x2 + kx + 1 is - 3, then the value of k is ______.
If one of the zeroes of the cubic polynomial x3 + ax2 + bx + c is -1, then the product of the
other two zeroes is ______.
If x3 + 11 is divided by x2 – 3, then the possible degree of remainder is ______.
A polynomial of degree n has ______.
