Answer:
It seems like you’re trying to divide a polynomial by a binomial. Here’s how you can do it:
Set up the long division with the polynomial 3x^4−25x^3+27x^2+6x+7 as the dividend and x-7 as the divisor.
Divide the first term of the dividend by the first term of the divisor, 3x^4 / x = 3x^3. Write this term above the line.
Multiply the divisor by 3x^3 and subtract this from the dividend.
Bring down the next term from the dividend and repeat steps 2 and 3 until you’ve brought down all terms.
This process will give you a quotient and possibly a remainder.
The quotient is your answer, and if there’s a remainder, it should be written as a fraction over x-7.