What must be added to 5x³-2x²+6x+7 to make the sum x³+3x²-x+1?
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From the given question the correct answer is:
Given:
5x³-2x²+6x+7
the sum x³+3x²-x+1
To find:
What must be added to 5x³-2x²+6x+7 to make the sum x³+3x²-x+1?
Solution:
Let, the X1 will be added to the 5x³-2x²+6x+7 so,
we get x³+3x²-x+1
we can write this like,
5x³-2x²+6x+7 + X1= x³+3x²-x+1
from this, transfer 5x³-2x²+6x+7 on right-hand side
we get,
X1 = x³+3x²-x+1 - (5x³-2x²+6x+7)
X1= x³+3x²-x+1 -5x³+2x²-6x-7
X1=-4x³+5x²-7x-6
Thus, we get the expression that was added to the 5x³-2x²+6x+7 so we get
x³+3x²-x+1
Final Answer:
-4x³+5x²-7x-6 must be added to 5x³-2x²+6x+7 to make the sum x³+3x²-x+1
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