Question

The model represents x2 – 9x + 14. Which is a factor of x2 – 9x + 14?

Answer 1

Factor of x² – 9x + 14 is:

(x-2)(x-7)

Explanation:

We have to find the factors of:

x² – 9x + 14

On splitting the middle term, we get

x² -7x -2x +14

which could also be written as:

x(x-7)-2(x-7)

which is equivalent to:

(x-2)(x-7)

Hence, Factor of x² – 9x + 14 is:

(x-2)(x-7)

Answer 2

(x-2)(x-7)

Explanation:

x2 – 9x + 14 = x² - 2x - 7x + 14

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

= (x-2)(x-7)