Question

Please help for this question ​

Answer 1

Answer:

-2x²+2x+6

Step-by-step explanation:

We have to find out the polynomial which must be added to 5x²+3x²-2x+1 to obtain 6x²+7

Therefore, 6x²+7-(5x²+3x²-2x+1)

=> 6x²+7-5x²-3x²+2x-1

=> -2x²+2x+6

Hence, -2x²+2x+6 must be added to 5x²+3x²-2x+1 to get 6x²+7.

Answer 2

Answer:

let y be the value that should be added

$(5 {x}^{2} + 3 {x}^{2} - 2x + 1) + y = 6 {x}^{2} + 7$

$(8 {x}^{2} - 2x + 1) - (6 {x}^{2} + 7) = - y$

$8 {x}^{2} - 6 {x}^{2} - 2x + 1 - 7 = - y$

$2 {x}^{2} - 2x - 6 = - y$

$2x + 6 - 2 {x}^{2} = y$

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