That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: (-5 plus or minus 2 times the square root of 10) divided by 5.
x = 0.2649110640673518
x = -2.2649110640673518
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That will depend on the plus or minus value of 40 which has not been given.
If it's +40 then when factored it is (x-5)(x-8)
If that's 6x - 40, and one of the choices is either (x + 10) or (x - 4), pick that one.
I'm guessing you meant to write x2 - 13x + 40 and you meant to include a list of binomials to choose from. Since that factors to (x - 5)(x - 8), make sure that one of those is on the list.
just like factoring any other trinomial.
It's not enough to copy the question off the test. If you don't tell us what the trinomial is, we can't factor it for you.
(t - 15)(t + 3)
just make the trinomial easier to factor. ex -x2 + 3x + 4 ... most books don't teach you how to factor when a leading term is negative. ... so -1(x2- 3x- 4) ... now factor again ignoring the -1 -1(x - 4)(x + 1)
That's not a trinomial, but it factors to x(x + 19)