Advertisements
Advertisements
प्रश्न
If x + 1 is a factor of x3 + a, then write the value of a.
Advertisements
उत्तर
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
संबंधित प्रश्न
Write the coefficient of x2 in the following:
`9-12x +X^3`
Write the degrees of each of the following polynomials
`7x3 + 4x2 – 3x + 12`
Identify polynomials in the following:
`h(x)=x^4-x^(3/2)+x-1`
If `x = 2` is a root of the polynomial `f(x) = 2x2 – 3x + 7a` find the value of a.
In each of the following, use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x) or, not: (1−7)
f(x) = x3 − 6x2 + 11x − 6; g(x) = x − 3
f(x) = x3 − 6x2 + 11x − 6, g(x) = x2 − 3x + 2
What must be subtracted from x3 − 6x2 − 15x + 80 so that the result is exactly divisible by x2 + x − 12?
Using factor theorem, factorize each of the following polynomials:
x3 + 6x2 + 11x + 6
x3 − 2x2 − x + 2
Factorise:
3x3 – x2 – 3x + 1
