Answer:
The answers for x^2+3x−40=0 are -8 and 5.
Explanation:
For this problem, we are able to factor. Since 8 and 5 are both factors of 40, and since 8-5=3, we will use 8 and 5 in our binomial equation:
(x+8)(x−5)=40.
Just to prove that this is correct, let's multiply the two together: x^2−5x+8x−40=x^2+3x−40.
From here, we can use the zero product property to get our answers: x+8=0,x−5=0.
Subtract 8 from the first equation and subtract 5 from the second equation to get our answers, -8 and 5.