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

Option (c) is correct.

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

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.