Advertisements
Advertisements
प्रश्न
If x2 + x + 1 is a factor of the polynomial 3x3 + 8x2 + 8x + 3 + 5k, then the value of k is
पर्याय
0
2/5
5/2
-1
उत्तर
Let `f(x) = 3x^2 + 8x^2 + 8x+ 8x + 3 + 5k` be the given polynomial,
Since `(x^2 + x + 1)`is the factor of f(x). Therefore, re`maider will be zero.
Now,
Now,
`-2 + 5k = 0`
`k=2/5`
APPEARS IN
संबंधित प्रश्न
If `f(x)=2x^2-13x^2+17x+12` find `f-(3)`
In each of the following, using the remainder theorem, find the remainder when f(x) is divided by g(x) and verify the result by actual division: (1−8)
f(x) = x3 + 4x2 − 3x + 10, g(x) = x + 4
y3 − 7y + 6
x4 − 2x3 − 7x2 + 8x + 12
The value of k for which x − 1 is a factor of 4x3 + 3x2 − 4x + k, is
If x + 2 and x − 1 are the factors of x3 + 10x2 + mx + n, then the values of m and n are respectively
Let f(x) be a polynomial such that \[f\left( - \frac{1}{2} \right)\] = 0, then a factor of f(x) is
If (3x − 1)7 = a7x7 + a6x6 + a5x5 +...+ a1x + a0, then a7 + a5 + ...+a1 + a0 =
Which of the following has x – 1 as a factor?
Factorise:
3x3 – x2 – 3x + 1