Which of these polynomials will make the following equation true?
(3x2 - 7x + 2) + ? = 2x2 -10x + 3
x2 - 3x + 1
-x + 3x + 1
x2 + 3x + 1
-x2 - 3x + 1
Answers
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- x² - 3x + 1
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-x - 3x + 1 will make the above equations equal.
Verification:-
putting value of ? as -x - 3x + 1 in the given equation..
=> 3x2 - 7x + 2 + (-x2 - 3x + 1) = 2x2 - 10x + 3
=> 3x2 - 7x + 2 - x2 - 3x + 1 = 2x2 -10x + 3
Arranging them in like terms..
=> 3x2 - x2 - 7x - 3x + 2 + 1 = 2x2 -10x + 3
=> 2x2 - 10x + 3 = 2x2 - 10x + 3
I Hope it'll help you..
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