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Determine whether the following polynomial can be factored by grouping. If so, factor the polynomial showing all work. If not, explain why this method will not work. 4x2 + 12xy + 2x + 2y

Mathematics
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first divide thru by 2 = 2(2x^2 +6xy + x + y) now we need to find a common binomial factor if possible combining 2x^2 and x : x(2x + 1) - cant to this with 6xy + y combining 2x^2 and 6xy : 2x(x + 3y) - cant do this with x + y ............ 6xy and x: x( 6y+1) - no ................ 6xy and y : y ( 6x+1) - no method wont work with this polynomial
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