Question

Which is a factor of x2 – 9x + 14?
x – 9
x – 2
x + 5
x + 7

Answer 1

`x^2-9x + 14 = \boxed{\bf{(x-2)(x-7)}}`

Your answer is x - 2.

Answer 2

(B)
`(x-2)`

Explanation:

The given equation is:

`x^2-9x+14`

Factorizing the above equation, we get

=
`x^2-7x-2x+14`

=
`x(x-7)-2(x-7)`

=
`(x-2)(x-7)`

which is the required simplified factorized form.

Thus, (x-2) is the correct factor from the given options.

Therefore, option (B) is correct.