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प्रश्न
Divide 30x4 + 11x3 − 82x2 − 12x + 48 by 3x2 + 2x − 4 and find the quotient and remainder.
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उत्तर
\[\text{Quotient =} 10 x^2 - 3x - 12\]
\[\text{Remainder =} 0\]
संबंधित प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
(x3 − 1)(x3 − 4)
Divide 6x3y2z2 by 3x2yz.
Divide x + 2x2 + 3x4 − x5 by 2x.
Divide 5x3 − 15x2 + 25x by 5x.
Using division of polynomials, state whether
z2 + 3 is a factor of z5 − 9z
Using division of polynomials, state whether
2x2 − x + 3 is a factor of 6x5 − x4 + 4x3 − 5x2 − x − 15
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
5y3 − 6y2 + 6y − 1, 5y − 1
Find whether the first polynomial is a factor of the second.
x + 1, 2x2 + 5x + 4
Simplify `(14"p"^5"q"^3)/(2"p"^2"q") - (12"p"^3"q"^4)/(3"q"^2)`
Statement A: If 24p2q is divided by 3pq, then the quotient is 8p.
Statement B: Simplification of `((5x + 5))/5` is 5x
