division of polynomials by binomials 2x-3 ÷ 6x⁴-4x³+6x-6
long division method
Answers
Answer: =\frac{2x-3}{2\left(3x^4-2x^3+3x-3\right)}
\frac{2x-3}{6x^4-4x^3+6x-6}
\mathrm{Factor}\:6x^4-4x^3+6x-6:\quad 2\left(3x^4-2x^3+3x-3\right)
Explanation:
\mathrm{Factor}\:6x^4-4x^3+6x-6:\quad 2\left(3x^4-2x^3+3x-3\right)
\mathrm{Factor\:out\:common\:term\:}2:\quad 2\left(3x^4-2x^3+3x-3\right)
Long Division of a Polynomial by a Binomial
Divide the highest degree term of the polynomial by the highest degree term of the binomial. ...
Multiply this result by the divisor, and subtract the resulting binomial from the polynomial.
Divide the highest degree term of the remaining polynomial by the highest degree term of the binomial.
https://www.symbolab.com/solver/polynomial-long-division-calculator/long%20division2x-3%20%5Cdiv%206x%E2%81%B4-4x%C2%B3%2B6x-6
for more detailed answer check the above link