divide 11x-6x⁴+5x²by x+2x²
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Answered by
4
Step-by-step explanation:
We divide −11x
2
+5x−4 by (2x−1) as shown in the above image:
From the division, we observe that the quotient is −
2
11
x−
4
1
and the remainder is −
4
17
.
We know that the division algorithm states that:
Dividend=Divisor×Quotient+Remainder
We apply the division algorithm to check the answer as follows:
Dividend=Divisor×Quotient+Remainder
−11x
2
+5x−4=[(2x−1)(−
2
11
x−
4
1
)]−
4
17
−11x
2
+5x−4=−11x
2
−
2
1
x+
2
11
x+
4
1
−
4
17
−11x
2
+5x−4=−11x
2
+ .
2
10
x−
4
16
−11x
2
+5x−4=−11x
2
+5x−4
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