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
Write the coefficient of x2 in the following:
`17 -2x + 7x^2`
Write the coefficient of x2 in the following:
`9-12x +X^3`
Identify polynomials in the following:
`g(x)=2x^3-3x^2+sqrtx-1`
Identify constant, linear, quadratic and cubic polynomials from the following polynomials:
`f(x)=0`
If x = 0 and x = −1 are the roots of the polynomial f(x) =2x3 − 3x2 + ax + b, find the value of a and b.
Find the remainder when x3 + 3x2 + 3x + 1 is divided by \[x - \frac{1}{2}\].
f(x) = 3x3 + x2 − 20x +12, g(x) = 3x − 2
Find the values of a and b, if x2 − 4 is a factor of ax4 + 2x3 − 3x2 + bx − 4.
If x − 3 is a factor of x2 − ax − 15, then a =
Factorise the following:
(a + b)2 + 9(a + b) + 18
