Advertisements
Advertisements
प्रश्न
The value of k for which x − 1 is a factor of 4x3 + 3x2 − 4x + k, is
विकल्प
3
1
-2
-3
Advertisements
उत्तर
As (x - 1)is a factor of polynomial f(x) = 4x3 + 3x2 − 4x + k
Therefore, f(1) = 0
`4(1)^3 + 3(1)^2 - 4(1) + k = 0`
`4 + 3 - 4 + k = 0`
` k = -3`
APPEARS IN
संबंधित प्रश्न
f(x) = x3 − 6x2 + 2x − 4, g(x) = 1 − 2x
f(x) = x4 − 3x2 + 4, g(x) = x − 2
f(x) = 9x3 − 3x2 + x − 5, g(x) = \[x - \frac{2}{3}\]
If the polynomials 2x3 + ax2 + 3x − 5 and x3 + x2 − 4x +a leave the same remainder when divided by x −2, find the value of a.
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x.
Find the remainder when x3 + 3x2 + 3x + 1 is divided by 5 + 2x .
f(x) = x5 + 3x4 − x3 − 3x2 + 5x + 15, g(x) = x + 3
x3 + 13x2 + 32x + 20
If x + 1 is a factor of x3 + a, then write the value of a.
Factorise:
x3 – 6x2 + 11x – 6
