## Which of these polynomials will make the following equation true? (3×2 – 7x + 2) + ? = 2×2 -10x + 3 x2 – 3x +

Question

Which of these polynomials will make the following equation true?

(3×2 – 7x + 2) + ? = 2×2 -10x + 3

x2 – 3x + 1
-x + 3x + 1
x2 + 3x + 1
-x2 – 3x + 1

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1 month 2021-08-21T23:16:48+00:00 2 Answers 0 views 0

1. -x – 3x + 1 will make the above equations equal.

Verification:

putting value of ? as -x – 3x + 1 in the given equation..

=> 3×2 – 7x + 2 + (-x2 – 3x + 1) = 2×2 – 10x + 3

=> 3×2 – 7x + 2 – x2 – 3x + 1 = 2×2 -10x + 3

Arranging them in like terms..

=> 3×2 – x2 – 7x – 3x + 2 + 1 = 2×2 -10x + 3

=> 2×2 – 10x + 3 = 2×2 – 10x + 3