Respuesta :
Answer:
Option (c) is correct.
(x-4) is a factor of given trinomial.
Step-by-step explanation:
Consider the give trinomial [tex]x^2-10x+24[/tex]
We have to find the factors of given binomial and choose the correct one from the given options.
Consider the given polynomial [tex]x^2-10x+24[/tex]
We will simplify the given quadratic equation using middle term split method,
-10x can be written as -4x-6x
Such that the product of term will give the product of the remaning terms,
Thus, the given trinomial becomes,
[tex]x^2-4x-6x+24[/tex]
Taking x common from first two terms and -6 common from last two terms, we have,
[tex]x(x-4)-6(x-4)[/tex]
Thus, take (x-4) common , we have,
[tex](x-4)(x-6)[/tex]
Thus, out of given factors (x-4) is a factor of given trinomial.
