Advertisements
Advertisements
प्रश्न
If x2 + x + 1 is a factor of the polynomial 3x3 + 8x2 + 8x + 3 + 5k, then the value of k is
विकल्प
0
2/5
5/2
-1
Advertisements
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
Identify constant, linear, quadratic and cubic polynomials from the following polynomials:
`g(x)=2x^3-7x+4`
Give one example each of a binomial of degree 35, and of a monomial of degree 100.
\[f(x) = 3 x^4 + 2 x^3 - \frac{x^2}{3} - \frac{x}{9} + \frac{2}{27}, g(x) = x + \frac{2}{3}\]
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x.
f(x) = 2x3 − 9x2 + x + 12, g(x) = 3 − 2x
If both x + 1 and x − 1 are factors of ax3 + x2 − 2x + b, find the values of a and b.
What must be added to x3 − 3x2 − 12x + 19 so that the result is exactly divisibly by x2 + x - 6 ?
x4 − 2x3 − 7x2 + 8x + 12
If x − a is a factor of x3 −3x2a + 2a2x + b, then the value of b is
If (x − 1) is a factor of polynomial f(x) but not of g(x) , then it must be a factor of
