Question

(x⁴ + 8x³ - 45x + 30) ÷ (x + 7)

Topic is Polynomials. Find the answer using long division. Please, provide detailed steps. ​

Answer 1

Explanation:

I added 3 images labelled Synthetic division 1 , 2 , 3 . I hope you understand this. It's really hard to type the method in the format so I used an online calculator symbolab.

Answer 2

The quotient is:
`x^3+x^2-7x+4`

The remainder is: 2

Explanation:

We need to solve the polynomials
`(x^4 + 8x^3 - 45x + 30) / (x + 7)`

by using long division.

The long division is done in figure attached.

The quotient is:
`x^3+x^2-7x+4`

The remainder is: 2