How do you factor the trinomial 2x^2+20x+50 ?

Priscilla Johnston 2021-12-25 Answered
How do you factor the trinomial 2x2+20x+50 ?
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Expert Answer

Serita Dewitt
Answered 2021-12-26 Author has 41 answers

Explanation:
We see that 2 is a common factor among all of the coefficients so we can factor 2 to the front giving us
2(x2+10x+25)
We now need 2 numbers which add to give 10 and multiply to give 25 (or use the quadratic formula). These 2 numbers will be 5 and 5(5+5=10,55=25). So we get
2(x+5)(x+5)=2(x+5)2

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eninsala06
Answered 2021-12-27 Author has 37 answers
Solution:
Factor 2 out of 2x2+20x+50
2(x2+10x+25)
Factor using the perfect square rule.
Rewrite 25 as 52
2(x2+10x+52)
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
10x=2x5
Rewrite the polynomial.
2(x2+2x5+52)
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=x and b=5
2(x+5)2
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karton
Answered 2021-12-30 Author has 368 answers
Thanks for the clarification, I think it will help me.
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