the sum of 3 algebraic expressions is 5 x³ - 2x² + 10 x + 1. if two of the expressions are x³ - x² + 5x + 7 and 2x³ - 3 x² + 7 x - 9 , find the third
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Answer:
Let the other equation be y
According to question
y×(x
2
+x+1)=x
5
+x
3
+x
∵y=
x
2
+x+1
x
5
+x
3
+x
Now By using the long division method
As shown in the figure
hence on solving the equation the other expression is x
3
−x
2
+x.
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