Factor 5j^2-6j+1

Math
5j2-6j+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 -6j.
5j2-6(j)+1
Rewrite -6 as -1 plus -5
5j2+(-1-5)j+1
Apply the distributive property.
5j2-1j-5j+1
5j2-1j-5j+1
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(5j2-1j)-5j+1
Factor out the greatest common factor (GCF) from each group.
j(5j-1)-(5j-1)
j(5j-1)-(5j-1)
Factor the polynomial by factoring out the greatest common factor, 5j-1.
(5j-1)(j-1)
Factor 5j^2-6j+1

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