Advertisements
Advertisements
प्रश्न
If x + a is a factor of x4 − a2x2 + 3x − 6a, then a =
पर्याय
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
Identify constant, linear, quadratic and cubic polynomials from the following polynomials:
`g(x)=2x^3-7x+4`
If `f(x) = 2x^2 - 13x^2 + 17x + 12` find f(2)
f(x) = 9x3 − 3x2 + x − 5, g(x) = \[x - \frac{2}{3}\]
Show that (x − 2), (x + 3) and (x − 4) are factors of x3 − 3x2 − 10x + 24.
Factorize of the following polynomials:
4x3 + 20x2 + 33x + 18 given that 2x + 3 is a factor.
If x3 + 6x2 + 4x + k is exactly divisible by x + 2, then k =
If x − 3 is a factor of x2 − ax − 15, then a =
Factorise the following:
t² + 72 – 17t
Factorise the following:
9 – 18x + 8x2
Factorise:
x3 + x2 – 4x – 4
