Factor by Grouping 4x^2+12x+5

Math
4×2+12x+5
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=4⋅5=20 and whose sum is b=12.
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Factor 12 out of 12x.
4×2+12(x)+5
Rewrite 12 as 2 plus 10
4×2+(2+10)x+5
Apply the distributive property.
4×2+2x+10x+5
4×2+2x+10x+5
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(4×2+2x)+10x+5
Factor out the greatest common factor (GCF) from each group.
2x(2x+1)+5(2x+1)
2x(2x+1)+5(2x+1)
Factor the polynomial by factoring out the greatest common factor, 2x+1.
(2x+1)(2x+5)
Factor by Grouping 4x^2+12x+5

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