- #1
markosheehan
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i am trying to divide x^3+(1-k^2)x+k by (x+k) but i can't do this can you show me how to.
Polynomial division is a method used to divide a polynomial (an expression with multiple terms) by another polynomial. It is similar to long division in arithmetic, but instead of dividing numbers, we are dividing polynomials.
Dividing polynomials is useful for simplifying complex expressions and solving equations. It allows us to break down a problem into smaller, more manageable parts.
To divide polynomials using long division, we first arrange the terms of the dividend (the polynomial being divided) and the divisor (the polynomial dividing the dividend) in descending order of degree. Then, we divide the first term of the dividend by the first term of the divisor and place the result above the dividend. Next, we multiply the divisor by this result and subtract it from the dividend. This process is repeated until we have no more terms to bring down from the dividend. The final result is the quotient (answer) and any remainder is written over the divisor as a fraction.
No, you cannot divide a polynomial by a polynomial with a higher degree. In polynomial division, the degree of the divisor must be equal to or lower than the degree of the dividend. If the degree of the divisor is higher, the division is not possible.
The remainder in polynomial division is the term left over after the division process is complete. It is written over the divisor as a fraction and is usually represented by "R". The remainder can also be zero, indicating that the division was exact and there is no leftover term.