Advertisements
Advertisements
Question
If \[x = \frac{1}{2}\] is a zero of the polynomial f(x) = 8x3 + ax2 − 4x + 2, find the value of a.
Advertisements
Solution
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
RELATED QUESTIONS
Identify constant, linear, quadratic and cubic polynomials from the following polynomials
`p(x)=2x^2-x+4`
In the following two polynomials, find the value of a, if x − a is factor (x5 − a2x3 + 2x + a + 1).
What must be added to 3x3 + x2 − 22x + 9 so that the result is exactly divisible by 3x2 + 7x − 6?
x4 − 2x3 − 7x2 + 8x + 12
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
(x + y)(x2 – xy + y2) is equal to
(a + b – c)2 is equal to __________
Factorise:
x3 + x2 – 4x – 4
