Question

Which of the binomials below is a factor of this trinomial?

x2 - 10x + 24

A. x + 4
B. x - 3
C. x - 4
D. x + 3

Answer 1

the answer is C
(X-4)(X-6)

Answer 2

Answer:

Option (c) is correct.

(x-4) is a factor of given trinomial.

Step-by-step explanation:

Consider the give trinomial $x^2-10x+24$

We have to find the factors of given binomial and choose the correct one from the given options.

Consider the given polynomial $x^2-10x+24$

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,

$x^2-4x-6x+24$

Taking x common from first two terms and -6 common from last two terms, we have,

$x(x-4)-6(x-4)$

Thus,  take (x-4) common , we have,

$(x-4)(x-6)$

Thus, out of given factors (x-4) is a factor of given trinomial.