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What should be added to 7x+5-8x^(2), so ...

What should be added to `7x+5-8x^(2)`, so that the sum is `15x+9x-5`?

Text Solution

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The correct Answer is:
`17 x^(2) + 8x - 10`
Let f(x) be added to `7x +5-8x^(2)` to get `15x+9x^(2)-5`
`:. f(x)=15x+9x^(2)-5-(7x+5-8x^(2))`
`=15x+9x^(2)-5-7x-5+8x^(2)`
`=(9x^(2)+8x^(2))+(15x-7x)+(-5-5)`
`f(x)=17x^(2)+8x-10`
`:.17x^(2)+8x-10` should be added to `7x+5-8x^(2)` to get `15x+9x^(2)-5`
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