Division Algorithm for a Polynomial
Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:
- x + 2
- x + 5
- x + 4
In division algorithm when should one stop the division process?
1. When the remainder is zero.
2. When the degree of the remainder is less than the degree of the divisor.
3. When the degree of the quotient is less than the degree of the divisor.
Statement A, B are correct
Statement B, C are correct
Statement C, A are correct
None of these
If the dividend = x4+x3−2x2+x+1, divisor = x−1 and remainder = 2, then find the quotient q(x).
When a polynomial is divided by (x+2), the quotient and remainder are (2x-1) and 3 respectively. Find the polynomial.
When we divide 3t4+5t3−7t2+2t+2 by t2+3t+1, we get 3t2−4t+2 as quotient.
Priya lost her homework paper on polynomials and she doesn't remember the divisor which, on dividing the polynomial x3−3x2+x+2 gives quotient (x−2) and remainder (−2x+4). Find the divisor.
What is the remainder when 3x2−7x+5 is divided by (x−1) ?