divide 11x-6x⁴+5x²by x+2x²
Share
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
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
Henceverified.