Give The Factored Form: F(x) = 2x^2 -5x -12 in General Terms?

f(x) = 2x^2 - 5x -12

f(x) = (2x + 3)(x - 4)

Set f(x) = 0 to find the x-values

0 = (2x + 3)(x - 4)

x = -3/2 or x = 4

f(x) = 2x^2 - 5x - 12
f(x) = 2x^2 + 3x - 8x - 12
f(x) = (2x^2 + 3x) - (8x + 12)
f(x) = x(2x + 3) - 4(2x + 3)
f(x) = (2x + 3)(x - 4)

thats is not factored.

Let F be fruit
Let X be xylophone

F equals fruit and X equals xylophone, therefore,

To have enough fruit to make a xylophone, you need double the amount of fruit to make the area of a xylophone. Then you need to take that doubled fruit and times it by itself to ensure full coverage of the xylophone. The xylophone being 12 inches times 5 (so 70 inches) means that you need to find the average size of a fruit, for example a banana. The average size of a banana is about 5.5 inches. So therefore we can conclude that you need about 12.6 bananas or 13 (when rounded) times 2, equaling 26 bananas, to build a xylophone.

: You can build a xylophone with 26 bananas.

Where x = 5

F= 2x^2-5x-12 / x
= 2(25)x2-25-12 /5
=2 (50)-25-12 /5
= 100-25-12/5
=75-12/5
=63/5
=12.6

So 12.6 bananas = F is half a xylophone!

(2x + 3)(x - 4)

(x-4)(2x+3)