What must be added to 5x3 – 2x2 + 6x + 7 to make the sum x3 + 3x2 – x + 1 ?
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Solution:-
Let the "Interger" or "Equation " be "z", which is added in the Eq (5x^3 – 2x^2 + 6x + 7) to make the sum (x^3 + 3x^2 – x + 1).
A.T.Q.
=)(5x^3 – 2x^2 + 6x + 7) + z = (x^3 + 3x^2 – x + 1)
=) z = (x^3 + 3x^2 – x + 1) - (5x^3 – 2x^2 + 6x + 7)
=) z = x^3 + 3x^2 -x + 1 - 5x^3 + 2x^2 - 6x - 7
=) z = ( x^3 - 5x^3) + ( 3x^2 + 2x^2) + ( -x -6x) + ( 1 - 7)
=) z = - 4x^3 + 5x^2 - 7x - 6
Hence,
If ( - 4x^3 + 5x^2 - 7x - 6) is added to (5x^3 – 2x^2 + 6x + 7). The Sum will be equal to (x^3 + 3x^2 – x + 1).
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