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 – 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
Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial
x2 + 3x + 1, 3x4 + 5x3 – 7x2 + 2x + 2
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 zeros of f(x) = x3 + 13x2 + 32x + 20, if one of its zeros is –2.
What must be subtracted from the polynomial f(x) = x4 + 2x3 − 13x2 − 12x + 21 so that the resulting polynomial is exactly divisible by x2 − 4x + 3 ?
Find all the zeros of the polynomial 2x3 + x2 – 6x – 3, if two of its zeros are `-sqrt(3)` and `sqrt(3)`.
Find all the zeros of the polynomial x3 + 3x2 – 2x – 6, if two of its zeros are `-sqrt(2)` and `sqrt(2)`.
Find all zeros of the polynomial 3x3 + 10x2 − 9x − 4 if one of its zero is 1.
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)?
