Advertisements
Advertisements
प्रश्न
If x + a is a factor of x4 − a2x2 + 3x − 6a, then a =
विकल्प
0
-1
1
2
Advertisements
उत्तर
As (x +a) is a factor of polynomial f(x) = x4 − a2x2 + 3x − 6a,
Therefore,
f(-a) = 0
`(-a)^4 - a^2 (-a)^2 +3(-a) - 6a = 0`
`a^4 - a^4 - 3a - 6a =0`
`a =0`
APPEARS IN
संबंधित प्रश्न
Write the degrees of the following polynomials
0
Identify polynomials in the following:
`f(x)=4x^3-x^2-3x+7`
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`
Show that (x + 4) , (x − 3) and (x − 7) are factors of x3 − 6x2 − 19x + 84
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.
What must be subtracted from x3 − 6x2 − 15x + 80 so that the result is exactly divisible by x2 + x − 12?
Factorise the following:
6x2 + 16xy + 8y2
Factorise the following:
`sqrt(5)"a"^2 + 2"a" - 3sqrt(5)`
Factorise:
x3 – 6x2 + 11x – 6
