Question

Which of the following represents the factorization of the trinomial below?

x² - 2x - 48

A. (x-4)(x-12)

B. (x+4)(x-12)

C. (x-6)(x-8)

D. (x+6)(x-8)

Answer 1

Answer: d

Explanation:

This a trinomial so to find the factorization you need just to solve this equation :

• x²-2x-48=0

1. a=1
2. b=-2
3. c=-48

• Δ=(-2)²-4*1*(-48)=196
• so our trinomial has 2 solutions :
• 
  `\left \{ {{y=(2+√(196) )/(2) } \atop {x=(2-√(196) )/(2) }} \right.`

x=8 and y=-6

the factorisation is f(x)=a* (x-8)(x-(-6))

the answer is : (x+6) (x-8)

Answer 2

Answer: (x-8)(x+6)

Step-by-step explanation: For this equation, you need to figure out what two numbers add up to add -2, and multiply to get -48.

These numbers are +6 and -8. So the factored pair will be (x+6)(x-8)

Hope this helps:)