Question

The base of a triangle is represented by (2x − 6) and the height by (x − 2). Which polynomial expression BEST represents the area of the triangle? A) x2 + 5x + 6 B) x2 − 5x + 6 C) x2 − 5x − 6 D) 2x2 + 10x + 12

Answer 1

x² - 5x + 6 → B

the area of a triangle (A) = $\frac{1}{2}$ × base × height

A = $\frac{1}{2}$ (2x - 6)(x - 2) → ( expand using FOIL)

A = $\frac{1}{2}$ (2x² - 10x + 12) = x² - 5x + 6

Answer 2

(2x-6)(x-2)(1/2)
2x^2 -10+ 12 (1/2)

x^2 -5x + 6
B is your answer