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

Step-by-step 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:

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

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

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get