Factor 5b^2+6b+1

Math
5b2+6b+1
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=5⋅1=5 and whose sum is b=6.
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Factor 6 out of 6b.
5b2+6(b)+1
Rewrite 6 as 1 plus 5
5b2+(1+5)b+1
Apply the distributive property.
5b2+1b+5b+1
Multiply b by 1.
5b2+b+5b+1
5b2+b+5b+1
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(5b2+b)+5b+1
Factor out the greatest common factor (GCF) from each group.
b(5b+1)+1(5b+1)
b(5b+1)+1(5b+1)
Factor the polynomial by factoring out the greatest common factor, 5b+1.
(5b+1)(b+1)
Factor 5b^2+6b+1

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