I need some algebra help?
2009-07-20 2:23 pm
Hi, im in a credit recovery class, ive searched the interney and cant find anything, Factor 2x^2+20x+50. Anybody think they could help, maybe with more then just the answer, an explanatiom?? If possible thanx Im completely lost...
回答 (4)
2009-07-20 2:38 pm
✔ 最佳答案
2X^2 + 20X + 50or
2(X^2 + 10X + 25)
or
2(X^2 + 5X + 5X +25)
or
2(X (X + 5) + 5( X + 5))
or
2(X+5) (X+5)
or
2 (X+5)^2
2009-07-20 9:35 pm
First you have to factor out the greatest common factor of 2.
2(x^2 + 10x + 25)
This is a perfect square trinomial, so you can factor it by writing x, then the sign from the middle term, then the square root of the last term, inside a set of brackets, and then squaring the brackets.
2(x + 5)^2
2(x^2 + 10x + 25)
This is a perfect square trinomial, so you can factor it by writing x, then the sign from the middle term, then the square root of the last term, inside a set of brackets, and then squaring the brackets.
2(x + 5)^2
2009-07-20 9:34 pm
a^2 + 2ab + b^2 â¡ (a + b)^2
2x^2 + 20x + 50
= 2(x^2) + 2(10x) + 2(25)
= 2(x^2 + 10x + 25)
= 2[x^2 + 2(x)(5) + 5^2]
= 2(x + 5)^2
2x^2 + 20x + 50
= 2(x^2) + 2(10x) + 2(25)
= 2(x^2 + 10x + 25)
= 2[x^2 + 2(x)(5) + 5^2]
= 2(x + 5)^2
2009-07-20 9:29 pm
Its 2(x+5)^2. Possibly you forgot that 2 is common in ALL the terms and the reast is a perfect square.
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