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Mathematics 10 Online
oregonduck (oregonduck):

@mathmate

oregonduck (oregonduck):

factoring by grouping 2x^+4x+1+4

oregonduck (oregonduck):

my answer is (2x+1)(x+2)(x+4)

oregonduck (oregonduck):

@mathmate @welshfella

oregonduck (oregonduck):

@DarkMoonZ

OpenStudy (flvs.net):

Need help?

oregonduck (oregonduck):

yes plz

OpenStudy (flvs.net):

I like your answer, it looks good to me.

OpenStudy (flvs.net):

7th advanced, you?

OpenStudy (flvs.net):

Oh really?

OpenStudy (flvs.net):

I was in public school advanced too.

OpenStudy (mathmate):

@OregonDuck If the answer is (2x+1)(x+2)(x+4) the question should have been 2x^3+13x^2+22x+8 Do you still want to know \(how\) to solve it?

oregonduck (oregonduck):

yes plz

oregonduck (oregonduck):

@mathmate yes plz

OpenStudy (mathmate):

We note that all coefficients are positives, therefore so are the factors. The leading coeff. is 2, and the constant term is 8, so the possible factors are 1/2, 1,2,4, and 8. we can try group them assuming a factor of x+2 2x^3+13x^2+22x+8 =2x^3+4x^2 + 9x^2+18x + 4x+8 =2x^2(x+2) + 9x(x+2) + 4(x+2) and it seems to work well, so =(x+2)(2x^2+9x+4) factor the quadratic the same way, if you want: =(x+2)(2x^2+8x + x+4) =(x+2)(x+4)(2x+1)

oregonduck (oregonduck):

so (x+2)(x+4)(2x+1) is the answer?

OpenStudy (mathmate):

Yes, for the following question: 2x^3+13x^2+22x+8

oregonduck (oregonduck):

NO WHAT IS THE ANSWER FOR 2x^+4x+1+4

OpenStudy (mathmate):

you cannot factor 2x^+4x+1+4 because it is not a polynomial. exponent is missing, and I suspect there are typos. Please check the question.

OpenStudy (mathmate):

It also shows that you have not made any attempt to solve the problem, when you have posted your question for over half an hour and not realize that there are typos.

oregonduck (oregonduck):

no 2x^2+4x+1+4

OpenStudy (mathmate):

Are you sure about the +1+4 part? The problem could have been written 2x^2+4x+5

oregonduck (oregonduck):

yes i am sure

OpenStudy (mathmate):

There are no rational factors for the problem 2x^2+4x+5.

oregonduck (oregonduck):

k if it was written this way then the answer would be?

OpenStudy (mathmate):

There are no rational factors for the problem 2x^2+4x+5.

oregonduck (oregonduck):

then my answer was right then for 2x^+4x+1+4 right?

oregonduck (oregonduck):

or prime?

OpenStudy (mathmate):

what was your answer?

oregonduck (oregonduck):

(2x+1)(x+2)(x+4)

pooja195 (pooja195):

#CAUGHT XD you got the answer and now you are presenting it here lol

OpenStudy (mathmate):

Your "answer" expands to a cubic polynomial. You're given a quadratic polynomial to factor, so your "answer" cannot be right. I already gave you the question that corresponds to your "answer".

oregonduck (oregonduck):

so it is prime?

OpenStudy (mathmate):

There are no rational factors, as I said earlier.

OpenStudy (mathmate):

Just to satisfy my curiosity, can you tell me how you obtained the answer (2x+1)(x+2)(x+4) to "factor 2x^+4x+1+4" ?

OpenStudy (mathmate):

The reason I said there are no rational factors is because the expression 2x^2+4x+5 can be factored into (x+1+sqrt(3/2)i)(x+1-sqrt(3/2)i) where i is the complex number where i^2=-1 by completing the square!

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