Z^3+8z^2++17z+10 find factorisation
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0
Answer:
Step-by-step explanation:
Answered by
1
Answer:
(z+1)(z+2)(z+5)
Step-by-step explanation:
z³+8z²+17z+10
= z³+8z²+12z+5z+10
= z³+2z² + 6z²+12z + 5z+10
= z²(z+2) + 6z(z+2) + 5(z+2)
= (z+2) [ z²+6z+5 ]
= (z+2) [ z²+z + 5z+5 ]
= (z+2) [ z(z+1) + 5(z+1) ]
= (z+2) [ (z+1) (z+5) ]
= (z+1)(z+2)(z+5)
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