Advertisements
Advertisements
Question
If x + 1 is a factor of x3 + a, then write the value of a.
Advertisements
Solution
As (x +1)s a factor of polynomial `f(x) = x^3 +a`
i.e. f(-1) = 0
\[\left( - 1 \right)^3 + a = 0\]
\[ \Rightarrow a = 1\]
Thus, the value of a = 1
APPEARS IN
RELATED QUESTIONS
Identify polynomials in the following:
`f(x)=2+3/x+4x`
The polynomials ax3 + 3x2 − 3 and 2x3 − 5x + a when divided by (x − 4) leave the remainders R1 and R2 respectively. Find the value of the following case, if R1 = R2.
In the following two polynomials, find the value of a, if x − a is factor (x5 − a2x3 + 2x + a + 1).
In the following two polynomials, find the value of a, if x + a is a factor x4 − a2x2 + 3x −a.
y3 − 7y + 6
If x2 − 1 is a factor of ax4 + bx3 + cx2 + dx + e, then
Factorise the following:
2a2 + 9a + 10
Factorise the following:
`sqrt(5)"a"^2 + 2"a" - 3sqrt(5)`
Factorise:
x3 + x2 – 4x – 4
Factorise:
3x3 – x2 – 3x + 1
