3z²-13z+4 is divided by (z-2) then the remainder is
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Answered by
1
Step-by-step explanation:
\begin{gathered}z - 3 = 0 \\ z = 3 \\az + 4 {z}^{3} + 4 {z}^{2} + 3z - 4 \\ a \times 3 + 4( {3}^{3} ) + 4 {}^{2} + 3 \times 3- 4 \\ 3a + 108 + 16 + 9 - 4 \\ 3a + 129.....1\end{gathered}
z−3=0
z=3
az+4z
3
+4z
2
+3z−4
a×3+4(3
3
)+4
2
+3×3−4
3a+108+16+9−4
3a+129.....1
\begin{gathered}z = 3 \\ {z}^{3} - 4z + a \\ (3) {}^{3} - 4 \times 3 + a \\ 27 - 12 + a \\ 15 + a....2\end{gathered}
z=3
z
3
−4z+a
(3)
3
−4×3+a
27−12+a
15+a....2
Since, 1=2
\begin{gathered}3a + 129 = 15 + a \\ 2a = - 114 \\ a = - 57\end{gathered}
3a+129=15+a
2a=−114
a=−57
Hope this helps you :-)))))
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Answered by
0
Answer:
10 is the reminder
Step-by-step explanation:
see the answer in picture
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