Advertisements
Advertisements
Question
The sum of (x + 5) observations is (x3 + 125). Find the mean of the observations
Advertisements
Solution
Sum of the observations = x3 + 125
Number of observations = x + 5
Mean of the observations = `"Sum of the observations"/"Number of observations"`
= `(x^3 + 125)/(x - 5)`
Mean = x2 – 5x + 25
APPEARS IN
RELATED QUESTIONS
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following
p(x) = x3 – 3x2 + 5x – 3, g(x) = x2 – 2
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : p(x) = x4 – 3x2 + 4x + 5, g(x) = x2 + 1 – x
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following
p(x) = x4 – 5x + 6, g(x) = 2 – x2
Obtain all other zeroes of 3x4 + 6x3 – 2x2 – 10x – 5, if two of its zeroes are `sqrt(5/3)` and - `sqrt(5/3)`
Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm
deg q(x) = deg r(x)
Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm:
g(x) = 2x2 – x + 3, f(x) = 6x5 – x4 + 4x3 – 5x2 – x – 15
Show that every positive odd integer is of the form (4q +1) or (4q+3), where q is some integer.
Find all zeros of the polynomial 3x3 + 10x2 − 9x − 4 if one of its zero is 1.
Find the quotient and remainder of the following.
(4x3 + 6x2 – 23x + 18) ÷ (x + 3)
Find the quotient and remainder of the following.
(8x3 – 1) ÷ (2x – 1)
