Factor -z^2+20z+21

Math
-z2+20z+21
Factor -1 out of -z2+20z+21.
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Factor -1 out of -z2.
-(z2)+20z+21
Factor -1 out of 20z.
-(z2)-(-20z)+21
Rewrite 21 as -1(-21).
-(z2)-(-20z)-1(-21)
Factor -1 out of -(z2)-(-20z).
-(z2-20z)-1(-21)
Factor -1 out of -(z2-20z)-1(-21).
-(z2-20z-21)
-(z2-20z-21)
Factor.
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Factor z2-20z-21 using the AC method.
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Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is -21 and whose sum is -20.
-21,1
Write the factored form using these integers.
-((z-21)(z+1))
-((z-21)(z+1))
Remove unnecessary parentheses.
-(z-21)(z+1)
-(z-21)(z+1)
Factor -z^2+20z+21

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