The polynomial is 2x^2+6x+4.
I factored it, and I got (2x+2)(x+2), which looks right to me....but the book says that the correct answer is 2(x+2)(x+1). I know that the book's answer is correct, but it doesn't suggest that there is more than one correct answer....
So, is my answer correct, or not? =o
If not, can you explain why?
I factored it, and I got (2x+2)(x+2), which looks right to me....but the book says that the correct answer is 2(x+2)(x+1). I know that the book's answer is correct, but it doesn't suggest that there is more than one correct answer....
So, is my answer correct, or not? =o
If not, can you explain why?
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2x^2+6x+4
=(2x+2)(x+2) this is as you got.
you should always check if this can be further factored.
we find here that we can take 2 as common from the first bracket. so the factors are
=2(x+1)(x+2)
=(2x+2)(x+2) this is as you got.
you should always check if this can be further factored.
we find here that we can take 2 as common from the first bracket. so the factors are
=2(x+1)(x+2)
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The answers are functionally equivalent. You can factor the leading coefficient (2) out of 2x+2, which makes (x+1). I've always been told to keep the two in rather than factor out, but it may depend.
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You're right!
2*x + 2 = 2*(x + 1)
(2*x + 2)*(x + 2) = 2*(x + 1)*(x + 2)
2*x + 2 = 2*(x + 1)
(2*x + 2)*(x + 2) = 2*(x + 1)*(x + 2)