Respuesta :
D
after you use the FOIL method (just multiplying everything) you'll get x^2 - 8x - 5x + 40. now just add the like terms
The factors of the given trinomial are (x-5)(x-8). Therefore, option D is the correct answer.
The given trinomial is x² - 13x + 40.
We need to factorise the given trinomial.
How to factorise the trinomial?
Factoring Trinomials in the form x²+ bx + c
To the factor, a trinomial in the form x² + bx + c, find two integers, r and s, whose product is c and whose sum is b.
Rewrite the trinomial as x² + rx + sx + c and then use grouping and the distributive property to factor the polynomial. The resulting factors will be (x + r) and (x + s).
Now, the factorisation of a given trinomial is
x² - 13x + 40=x² - 5x -8x+ 40
=x(x-5)-8(x-5)
=(x-5)(x-8)
The factors of the given trinomial are (x-5)(x-8). Therefore, option D is the correct answer.
To learn more about the factorisation of trinomial visit:
https://brainly.com/question/13496719.
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