4x3-2x2-3 is divided by 2x2-1
Answers
Answer:
have done the division by Long division method
\begin{gathered}\begin{array}{r|ccccccc}&2x&-&1&&&&\\\cline{2-8}2x^2+0x-1&4x^3&-&2x^2&+&0x&-&3\\&4x^3&+&0x^2&-&2x&&\\\cline{2-8}&&-&2x^2&-&2x&-&3\\&&-&2x^2&+&0x&+&1\\\cline{2-8}&&&&-&2x&-&4\\\cline{2-8}\end{array}\end{gathered}
\cline2−82x
2
+0x−1
\cline2−8
\cline2−8
\cline2−8
2x
4x
3
4x
3
−
−
+
−
−
1
2x
2
0x
2
2x
2
2x
2
+
−
−
+
−
0x
2x
2x
0x
2x
−
−
+
−
3
3
1
4
\textbf{Quotient=}\;2x-1Quotient=2x−1
\textbf{Remainder=}\;-2x-4Remainder=−2x−4
Find more:
Square root of polynomial m^4+6m^3+11m^2+6m+1
Step-by-step explanation:
I have done the division by Long division method
\begin{gathered}\begin{array}{r|ccccccc}&2x&-&1&&&&\\\cline{2-8}2x^2+0x-1&4x^3&-&2x^2&+&0x&-&3\\&4x^3&+&0x^2&-&2x&&\\\cline{2-8}&&-&2x^2&-&2x&-&3\\&&-&2x^2&+&0x&+&1\\\cline{2-8}&&&&-&2x&-&4\\\cline{2-8}\end{array}\end{gathered}
\cline2−82x
2
+0x−1
\cline2−8
\cline2−8
\cline2−8
2x
4x
3
4x
3
−
−
+
−
−
1
2x
2
0x
2
2x
2
2x
2
+
−
−
+
−
0x
2x
2x
0x
2x
−
−
+
−
3
3
1
4
\textbf{Quotient=}\;2x-1Quotient=2x−1
\textbf{Remainder=}\;-2x-4Remainder=−2x−4
Find more:
Square root of polynomial m^4+6m^3+11m^2+6m+1