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zhenek [66]
3 years ago
8

6x^2+x-12 in factored form

Mathematics
1 answer:
pychu [463]3 years ago
5 0
6x²+x-12

the first thing we need to do is find 2 numbers that add up to equal the middle term (1) but multiply together to get a product of -72 (-12*6)

two numbers that would fit this is 9 and -8
so now we placed 9x and -8x in place of the middle term

6x²+9x-8x-12

now we look for whats common between the first two numbers and divide them out

6x²+9x = 3x(2x+3)

now we do the same with the last two numbers

-8x-12 = -4(2x+3)

notice how the numbers in brackets are the same (2x+3)
we will keep (2x+3) and then combine the numbers on the outside

once we do that you should get an answer of 

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

hope this helped!


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A_{trapezoid} = \frac{b_{1}+b_{2}}{2}*h

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