The polynomial should be 6x²-5x+5.
Step-by-step explanation:
Given polynomial is
7x²-6x+5
Let,
A be the polynomial subtracted from given polynomial to get x²-x
[tex](7x^2-6x+5)-A=(x^2-x)\\(7x^2-6x+5)-(x^2-x)=A\\7x^2-6x+5-x^2+x=A\\7x^2-x^2-6x+x+5=A\\6x^2-5x+5=A\\A=6x^2-5x+5\\[/tex]
The polynomial should be 6x²-5x+5.
Keywords: polynomials, addition
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