Advertisements
Advertisements
प्रश्न
Find the quotient and remainder of the following.
(8y3 – 16y2 + 16y – 15) ÷ (2y – 1)
Advertisements
उत्तर
∴ The quotient = 4y2 – 6y + 5
The remainder = –10
APPEARS IN
संबंधित प्रश्न
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
Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm
deg p(x) = deg q(x)
If the polynomial x4 – 6x3 + 16x2 – 25x + 10 is divided by another polynomial x2 – 2x + k, the remainder comes out to be x + a, find k and a.
Obtain all zeros of the polynomial f(x) = x4 − 3x3 − x2 + 9x − 6, if two of its zeros are `-sqrt3` and `sqrt3`
What must be added to the polynomial f(x) = x4 + 2x3 − 2x2 + x − 1 so that the resulting polynomial is exactly divisible by x2 + 2x − 3 ?
If x3 + x2 – ax + b is divisible by (x2 – x), write the values of a and b.
Show that every positive odd integer is of the form (4q +1) or (4q+3), where q is some integer.
The area of a rectangle is x2 + 7x + 12. If its breadth is (x + 3), then find its length
The sum of (x + 5) observations is (x3 + 125). Find the mean of the observations
Find k so that x2 + 2x + k is a factor of 2x4 + x3 – 14 x2 + 5x + 6. Also find all the zeroes of the two polynomials.
