(1) What should be added to #x²–5x+1 to get
- 3x² + 4x +7
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={x^2-5x+1}+z=-3x^2+4x+7
where z=the number must be added to x^2-5x+1 to get -3x^2+4x+7
z=-3x^2+4x+7-[x^2-5x+1]
=-3x^2+4x+7-x^2+5x-1
=-4x^2+9x+6
so, z=-4x^2+9x+6
hope this may help you.
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