SOLUTION: 3x^2 + 17x + 10? Whats the answer?

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Question 160318: 3x^2 + 17x + 10? Whats the answer?
Found 2 solutions by Edwin McCravy, Electrified_Levi:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
How do you factor completely: ? Whats the answer?



Multiply the 3, (coefficient of  by the 10, 
(constant term), getting 30.

Write all the pairs of integers that have product 30



Beside them write their sums:



Pick out the one that has the sum 17, the coefficient of .



Rewrite the 17 in



as 



Distribute and rewrite  as 



Factor  out of the first two terms:



Factor  out of the last two terms:

 

Foctor  out of each:



Edwin
Answer by Electrified_Levi(103)   (Show Source): You can put this solution on YOUR website!
Hi, Hope I can help,
.
How do you factor completley:? Whats the answer?
.
We can find the first part of the number, by finding factors of "3" (1, and 3)
.
The first part of the answer is (3x )(x ), since all the numbers are positive we can put "+" in both of the factors
.
(3x )(x ) = (3x + )(x + )
.
Next, you need to find all factors of "10"
.
Factors of 10: (1,10) and (2,5):Factors in order ( 1,2,5,10 )
.
Next you have to multiply "3" and "1", by one of the two pairs of factors (10), the numbers we get will have to add up to "17"
.
Nope, we will switch the factors of "10"
.
Nope, we will use the other factors of "10"
.
Nope, we will switch the factors of "10"
.
True, we need to use the factors "5" and "2"
.
We have to put the "5" and "2" in the right place in the answer (Since we got the answer by , we will put the factors in opposite order that we did to find the addition answer)
.
(3x + )(x + ) = (3x + 2 )(x + 5 )
.
We can check our answers by multiplying the factors out, using the FOIL method
.
= = = = =
.
= = ( Our answer)
.
The two factors (Your answer) = and
.
The simplified equation =
.
Hope I helped, Levi
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