Advertisements
Advertisements
Question
Find the quotient and remainder of the following.
(8x3 – 1) ÷ (2x – 1)
Advertisements
Solution
∴ The quotient = 4x2 + 2x + 1
The remainder = 0
APPEARS IN
RELATED QUESTIONS
Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial
x3 – 3x + 1, x5 – 4x3 + x2 + 3x + 1
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 r(x) = 0
Apply division algorithm to find the quotient q(x) and remainder r(x) on dividing f(x) by g(x) in the following f(x) = 10x4 + 17x3 − 62x2 + 30x − 3, g(x) = 2x2 + 7x + 1
Obtain all zeros of the polynomial f(x) = x4 − 3x3 − x2 + 9x − 6, if two of its zeros are `-sqrt3` and `sqrt3`
If (a-b) , a and (a + b) are zeros of the polynomial `2x^3-6x^2+5x-7` write the value of a.
State Division Algorithm for Polynomials.
Find all zeros of the polynomial 3x3 + 10x2 − 9x − 4 if one of its zero is 1.
The base of a parallelogram is (5x + 4). Find its height if the area is 25x2 – 16
If on division of a non-zero polynomial p(x) by a polynomial g(x), the remainder is zero, what is the relation between the degrees of p(x) and g(x)?
