If we write where we see in the equation and set the result equal to , we get the result.
Answer:
The polynomial is 2 x² - 2x + 7
Step-by-step explanation:
Given polynomial
(8 x² + 9 ) - (6x² +2x +2)
= 8 x² +9 - 6x² - 2x -2
= 8x² - 6x² - 2x + 9-2
= 2 x² - 2x + 7
The polynomial is 2 x² - 2x + 7
Get the x terms by themselves on one side and a constant on the other side of the equal sign...
4x^2-8x=1 make the leading coefficient equal to one...
x^2-2x=1/4 now halve the linear coefficient, -2 in this case, square it, and add that value to both sides of the equation...-2/2=-1, -1^2=1 so
x^2-2x+1=1+1/4
x^2-2x+1=5/4 now the left side is a perfect square...
(x-1)^2=5/4 take the square root of both sides...
x-1=±√(5/4) add 1 to both sides
x=1±√(5/4)
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