10) In the division of one
Polynomial by another, if the
divisor, quotient and
remainder are respectively (x-
2). (3x+1) and 3. Find the
dividend
Answers
Answered by
0
Answer:
We know that the division algorithm states that:
Dividend=Divisor×Quotient+Remainder
It is given that the divisor is x
2
+3x+5, the quotient is 2x
2
+x+2 and the remainder is 3. And let the dividend be p(x). Therefore, using division algorithm we have:
p(x)=[(x
2
+3x+5)(2x
2
+x+1)]+3
=[x
2
(2x
2
+x+1)+3x(2x
2
+x+1)+5(2x
2
+x+1)]+3
=2x
4
+x
3
+x
2
+6x
3
+3x
2
+3x+10x
2
+5x+5+3
=2x
4
+7x
3
+14x
2
+8x+8
Hence, the dividend p(x) is 2x
4
+7x
3
+14x
2
+8x+8.
Step-by-step explanation:
hope it helps you
Answered by
0
Answer:
(x-2)*(3x-1)+3
3x²-x-6x+2+3
3x²-7x+3
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