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Carlbayangos49go
Answered

.What is the factored form of f(x)= x2-3x2-4x+12?
a. f(x)= (x-1)(x+2)(x-6) b. f(x)= (x-2)(x+2)(x-3)
c. f(x)= (x-4)(x-3)(x+1) d. f(x)= (x-12)(x+1)(x-1​

Sagot :

Jamelbenibrahimgo

Answer:

[tex]b. \: f(x) = (x - 2)(x + 2)(x - 3)[/tex]

Step-by-step explanation:

[tex]f(x) = {x}^{3} - 3 {x}^{2} - 4x + 12[/tex]

[tex]f(x) = ( {x}^{3} - 3 {x}^{2} ) - (4x - 12)[/tex]

[tex]f(x) = {x}^{2} (x - 3) - 4(x - 3)[/tex]

[tex]f(x) = (x - 3)( {x}^{2} - 4)[/tex]

[tex]f(x) = (x - 3)(x + 2)(x - 2)[/tex]

Note: the factors can be rearranged into

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

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