Advertisements
Advertisements
प्रश्न
Find the quotient and remainder of the following.
(−18z + 14z2 + 24z3 + 18) ÷ (3z + 4)
Advertisements
उत्तर
∴The quotient = 8z2 – 6z + 2
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) = x3 – 3x2 + 5x – 3, g(x) = x2 – 2
Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial
t2 – 3, 2t4 + 3t3 – 2t2 – 9t – 12
On dividing x3 – 3x2 + x + 2 by a polynomial g(x), the quotient and remainder were x – 2 and –2x + 4, respectively. Find g(x)
Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm
deg q(x) = deg r(x)
Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm
deg r(x) = 0
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.
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
If x3 + x2 – ax + b is divisible by (x2 – x), write the values of a and b.
Find the quotient and remainder of the following.
(8x3 – 1) ÷ (2x – 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)?
