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.
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
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x.
f(x) = 3x4 + 17x3 + 9x2 − 7x − 10; g(x) = x + 5
Find the values of p and q so that x4 + px3 + 2x3 − 3x + q is divisible by (x2 − 1).
What must be added to 3x3 + x2 − 22x + 9 so that the result is exactly divisible by 3x2 + 7x − 6?
Mark the correct alternative in each of the following:
If x − 2 is a factor of x2 + 3ax − 2a, then a =
If x − a is a factor of x3 −3x2a + 2a2x + b, then the value of b is
If x140 + 2x151 + k is divisible by x + 1, then the value of k is
If x + a is a factor of x4 − a2x2 + 3x − 6a, then a =
If x + 2 and x − 1 are the factors of x3 + 10x2 + mx + n, then the values of m and n are respectively
Factorise the following:
5x2 – 29xy – 42y2
