divide the polynomial:- 12z^3 + 4z +3z^2 + 1 by 4z + 1
please answer it.
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Step-by-step explanation:
there you go...hope you understand mate ☺
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Answer:
Step-by-step explanation:
Let p ( z ) = 12z³ + 3z² + 4z + 1
If ( 4z + 1 ) is a factor of p ( z )
Then z = - 1/ 4
On substituting,
p ( - 1/4) = 12 (- 1/4)³ + 3 (-1/4)² + 4 (-1/4) + 1
= 12 ( -1/64) + 3 (1/16) - 1 + 1
= -3/16+ 3/16
= 0
Hence, (4z +1) is a factor of p (z).
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