Which of the following is the remainder when $z ({5 z}^{2} - 80)$ is divided by $5 z (z - 4)$ :

z + 4

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z - 4

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5

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0

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Solution

The correct option is A $z + 4$
$\frac{z (5 z^{2} 80)}{5 z (z - 4)} = \frac{5 (z^{2} - 16)}{5 (z - 4)}$
$= \frac{(z + 4) (z - 4)}{(z - 4)}$
$= z + 4$ Ans

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Which of the following is the remainder when z(5z2−80) is divided by 5z(z−4):

The correct option is A z+4z(5z280)5z(z−4)=5(z2−16)5(z−4)=(z+4)(z−4)(z−4)=z+4 Ans

Which of the following is the remainder when $z ({5 z}^{2} - 80)$ is divided by $5 z (z - 4)$ :

The correct option is A $z + 4$
$\frac{z (5 z^{2} 80)}{5 z (z - 4)} = \frac{5 (z^{2} - 16)}{5 (z - 4)}$
$= \frac{(z + 4) (z - 4)}{(z - 4)}$
$= z + 4$ Ans