Question

Which polynomial, when added to the polynomial 5x^2–3x–9, is equivalent to x^2–5x+6?

Answer 1

`-4\cdot{x^2}-2\cdot{x}+15`

Explanation:

We can look at the terms one by one. We know that to get 5 to 1 we must add -4 so the first term is:

`-4\cdot{x^2}`

For the x term to go from -3 to -5 we must add -2, so the second term is

`-2\cdot{x}`

Lastly, to go from -9 to 6 we must add 15. The final polynomial added is:

`-4\cdot{x^2}-2\cdot{x}+15`