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Vladimir79 [104]
2 years ago
11

The expression shown below

Mathematics
1 answer:
LekaFEV [45]2 years ago
7 0
First you must factor out a -4 giving you -8(2x^2-3x-4) then find what numbers multiply to equal -8 (you get that number by multiplying the leading coefficient 2 and the constant -2) and add to give you -3. Those numbers are -4 and 1. So the factored form of the original equation is -8(2x+1)(x-2) the reason why you have a -2 instead of -4 in the second parentheses is because when you multiply by the 2x in the first parentheses it will equal 4x.
Hope this helps!
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Solution:

Area of the blue box =  length × width

                                  =x\times x

Area of the blue box =x^2

Area of the pink box =  length × width

                                  =4\times x

Area of the pink box =4x

Area of the green box = length × width

                                     =6\times x

Area of the green box =6x

Area of the orange box = length × width

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Area of the orange box = 24

Total area of the rectangle =x^2+4x+6x+24

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Area of the entire rectangle =x^2+10x+24

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