Question

What is (3x^4+4x^3-3x+1)/(3x+4)?

Answer 1

Answer: 3x4 + 4x3 - 3x + 1

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3x + 4

Explanation:

Answer 2

Answer:
`\bold{x^3-1+(5)/(3x+4)}`

Explanation:

`(3x^4+4x^3-3x+1)/(3x+4)\\\\\text{Use synthetic division to divide 3x + 4 = 0}\ \rightarrow \bigg(x=-(4)/(3)\bigg)\ \text{into the numerator}.\\\\\begin {array}c-(4)/(3)&3&4&0&-3&1\\&\underline{\downarrow}} &\underline{-4}&\underline{0}&\underline{0}&\underline{4}\\\end{array}  \\\begin {array}{ccccccc}..\quad &3& \ 0& \ 0&-3&\boxed{5}&\leftarrow \ \text{remainder is 5}\\\end{array}\\\\\text{The reduced polynomial has the coefficients: 3, 0, 0, and -3 and remainder 5.}\\`

So, quotient is: (3x³ - 3)/3, remainder 5