Question

the polynomial long division of 2x^3 + 4x^2 + 5x - 1 results in a remainder of -4. which correctly expresses the remainder ​

Answer 1

whenever doing a division, we have a dividend, a divisor and a resulting quotient.

now, the remainder is hmm what remains that wasn't divisible by the divisor, so we can write the quotient as hmmm

"well, here's the quotient, ohhhh!! btw it has a remainder here, which wasn't divisible by the divisor, and since it wasn't by the divisor, let me just show it as that, "the one that is being divided by the divisor"

so if say we divide hmmm 8 by 3, we get a quotient of 2 and a remainder of 2, so we can write the quotient as 2 + 2/3

now for this case
`\textit{\LARGE Quotient}~~ - ~~\cfrac{4}{2x^3+4x^2+5x-1}`

Answer 2

the correct answer will be

-4

Explanation:

2^×3+4×^2+5×-1