Find the quotient and the remainder.
-$x ^ { 4 } + 3 x ^ { 2 } + 4$ divided by $x ^ { 2 } + 1$
A) $x ^ { 2 } + 2 x + 1$; remainder 2
B) $x ^ { 2 } + 2 ;$ remainder 2
C) $x ^ { 2 } + 2$; remainder 0
D) $x ^ { 2 } + 2 x + \frac { 1 } { 2 } ;$ remainder 0

Question

Quizplus · Accepted Answer

Dividing $x^4 + 3x^2 + 4$ by $x^2 + 1$ gives a quotient of $x^2 + 2$ and a remainder of 2, because $x^4 + 3x^2 + 4 = (x^2 + 1)(x^2 + 2) + 2$.

Find the Quotient and the Remainder x4+3x2+4x ^ { 4 } + 3 x ^ { 2 } + 4x4+3x2+4

Find the Quotient and the Remainder $x ^ { 4 } + 3 x ^ { 2 } + 4$