Advertisements
Advertisements
Question
If x − a is a factor of x3 −3x2a + 2a2x + b, then the value of b is
Options
0
2
1
3
Advertisements
Solution
As (x-a)is a factor of f(x) =x3 −3x2a + 2a2x + b
i.e. f(a) = 0
`a^3 - 3a^3 + 2a^3 +b =0`
Thus,b = 0
APPEARS IN
RELATED QUESTIONS
Identify polynomials in the following:
`h(x)=x^4-x^(3/2)+x-1`
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
f(x) = 4x3 − 12x2 + 14x − 3, g(x) 2x − 1
Find the remainder when x3 + 3x2 + 3x + 1 is divided by \[x - \frac{1}{2}\].
2y3 − 5y2 − 19y + 42
2y3 + y2 − 2y − 1
Factorize of the following polynomials:
4x3 + 20x2 + 33x + 18 given that 2x + 3 is a factor.
If f(x) = x4 − 2x3 + 3x2 − ax − b when divided by x − 1, the remainder is 6, then find the value of a + b
If (x − 1) is a factor of polynomial f(x) but not of g(x) , then it must be a factor of
Factorise the following:
12x2 + 36x2y + 27y2x2
