Algebra and Applications Test 2

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Question : 7 of 40

Marks: +1, -0

What is the remainder when

3r ^3 - 2r ^2 s - 13rs^2 + 10s ^3

is divided by

r - 2s

?

0
s
r + s
r + 2s
None of these

Solution:

Let

f(r) = 3r ^3 - 2r ^2 s - 13rs^2 + 10s ^3

∴ Remainder = f(2s)

= 3(2s) ^3 - 2(2s) ^2 s - 13(2s)s^2 + 10s ^3

=24s^3-8s^3-26s^3+10s^3

=0

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