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What should be subtracted from 2x^(2)-3x...

What should be subtracted from `2x^(2)-3x+14`, that the difference is `5x^(2)+7x-5`?

Text Solution

Verified by Experts

The correct Answer is:
` 19 - 10 x - 3x^(2)`
Let f(x) be subtracted from `2x^(2)-3x+14` to get `5x^(2)+7x-5`
`(2x^(2)-3x+14)=-(5x^(2)+7x-5)=f(x)`
`2x^(2)-3x+14-5x^(2)-7x+5=f(x)`
`(2z^(2)-5x^(2))+(-3x-7x)+(14+5)=f(x)`
`-3x^(2)-10+19=f(x)`
`:. 19-10x-3x^(2)` should be substracte from `2x^(2)-3x+14`, so that the difference is `5x^(2)+7x-5`
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