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

Question

asked Dec 23, 2020 127k views

1 Answer

Djdance · Answer 1 · 2020-12-29T12:23:52+0000

Answer:

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

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:

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