Advertisements
Advertisements
प्रश्न
If \[x = \frac{1}{2}\] is a zero of the polynomial f(x) = 8x3 + ax2 − 4x + 2, find the value of a.
Advertisements
उत्तर
Since `x = 1/2`is a zero of polynomial f(x).
Therefore `f(1/2) = 0`
` ⇒ 8(1/2)^3+ a(1/2)^2 - 4(1/2) + 2 = 0`
`⇒ 1 + a / 4 - 2 +2 = 0`
⇒` a = -4`
The value of a is -4.
APPEARS IN
संबंधित प्रश्न
Write the coefficient of x2 in the following:
`sqrt3x-7`
f(x) = x3 −6x2 − 19x + 84, g(x) = x − 7
f(x) = 3x3 + x2 − 20x +12, g(x) = 3x − 2
What must be subtracted from x3 − 6x2 − 15x + 80 so that the result is exactly divisible by x2 + x − 12?
y3 − 7y + 6
x3 + 13x2 + 32x + 20
Define zero or root of a polynomial.
The value of k for which x − 1 is a factor of 4x3 + 3x2 − 4x + k, is
If x2 + x + 1 is a factor of the polynomial 3x3 + 8x2 + 8x + 3 + 5k, then the value of k is
Factorise the following:
y2 – 16y – 80
