Question

One of the linear factor of 3x²+8x+5 is
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Answer 1

Answer:

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Answer 2

$= (x+1)(3x+5)$

Step-by-step explanation:

3x²+8x+5

• Compare with  

we get a=3 b=8 c=5  

• Product (ac)= 3×5=15 and sum (b)= 8

Product of             sum of  

Numbers                numbers

ac=15                       b=8  

1 × 15                         16  

-1 × -15                       -16  

3 × 5                           8  

-3 × -5                        -8  

• we find the pair 3,5 only satisfies "b = 8" and  
• "we split the middle term 8x as 3x and 5x.

            3x²+8x+5 = 3x²+3x+5x+5.  

By taking out the common elements.

                      $3x(x+1) + 5(x+1)\\ = (x+1)(3x+5)$

Therefore ($x+1$)  and ($3x+5$) are the Factors of  3x²+8x+5.