Factor 11k^2-12k+1

Math
11k2-12k+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=11⋅1=11 and whose sum is b=-12.
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Factor -12 out of -12k.
11k2-12(k)+1
Rewrite -12 as -1 plus -11
11k2+(-1-11)k+1
Apply the distributive property.
11k2-1k-11k+1
11k2-1k-11k+1
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(11k2-1k)-11k+1
Factor out the greatest common factor (GCF) from each group.
k(11k-1)-(11k-1)
k(11k-1)-(11k-1)
Factor the polynomial by factoring out the greatest common factor, 11k-1.
(11k-1)(k-1)
Factor 11k^2-12k+1

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