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Lillian has a rectangular garden with an area of 3x² - 10x - 8 square feet. Find the expressions that would represent the length and width of the garden. Make sure you show all your work for full credit.


Sagot :

Answer:

x = 4

x = -2/3

Step-by-step explanation:

3x² - 10x - 8

multiply 3 and -8 which = -24

what 2 factors of -24 that when added make -10

those 2 factors would be -12 and +2

Rewrite the polynomial splitting the middle term using the two factors -12  and  2

3x^2 - 12x + 2x - 8

split it up

3x^2 - 12x

2x - 8

x(3x + 2)

2(x - 4)

pulling out like factors

(x - 4) * (3x + 2)

OR

3 ( x - 12/3 )( x + 2/3 ) = 0

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

divide both sides by 3

x = 4

x = -2/3

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tigeralgebra.