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6x^2+17x+5=?...

`6x^2+17x+5=?`

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The given expression is `6x^2+17x+5`.
Here, `6xx5 =30`
We split 17 into two parts whose sum is 17 and prodcut 30.
Clearly, `(15+2)=17, and (15xx2)=30`.
` therefore 6x^2+17 x+5 =6x^2+15x+2x+5`
`=3x(2x+5)+(2x+5)`
`=(2x+5)(3x+1)`.
Hence , `6x^2+17x+5=(2x+5)(3x+1)`.
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