Advertisements
Advertisements
Question
If x2 + x + 1 is a factor of the polynomial 3x3 + 8x2 + 8x + 3 + 5k, then the value of k is
Options
0
2/5
5/2
-1
Advertisements
Solution
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
RELATED QUESTIONS
Write the degrees of the following polynomials:
`12-x+2x^3`
Write the degrees of the following polynomials:
7
Identify polynomials in the following:
`q(x)=2x^2-3x+4/x+2`
Identify polynomials in the following:
`h(x)=x^4-x^(3/2)+x-1`
Identify polynomials in the following:
`f(x)=2+3/x+4x`
Find rational roots of the polynomial f(x) = 2x3 + x2 − 7x − 6.
f(x) = x4 − 3x2 + 4, g(x) = x − 2
If x − 2 is a factor of the following two polynomials, find the values of a in each case x5 − 3x4 − ax3 + 3ax2 + 2ax + 4.
In the following two polynomials, find the value of a, if x − a is factor (x5 − a2x3 + 2x + a + 1).
x3 − 2x2 − x + 2
