Question

The model represents x2 - 9x + 14

Which is a factor of x2 - 9x + 14?
OX-9
OX-2
X+5

Answer 1

x - 2

Explanation:

To factorise the quadratic

Consider the factors of the constant term (+ 14) which sum to give the coefficient of the x- term (- 9)

The factors are - 7 and - 2, since

- 7 × - 2 = + 14 and - 7 - 2 = - 9, thus

x² - 9x + 14 = (x - 7)(x - 2) ← in factored form

Thus (x - 2) is a factor of the expression

Answer 2

• x - 2

Explanation:

The expression can be factored using the factors of 14, 2 and 7, which add to give 9.

x² -9x +14 = (x -2)(x -7)

One of the factors is (x -2).