The model represents x2 - 9x + 14
which is a factor of x2 - 9x + 14?
ox-9
ox-2
x+5

Step-by-step 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).

x - 2

Step-by-step 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

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

pls refer ro the top for answer