Algebra and Applications Test 1

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Question : 22 of 40

Marks: +1, -0

What are the values of a for which

3m^5+9m^4-7m^3-5m^2-3gm+3g^2

is divisible by

m - 1

?

3, 0
2, -1
2, 1
0, 1
None of these

Solution:

Let

f(m)=3m^5+9m^4-7m^3-5m^2-3gm+3g^2

This function is divisible by m - 1, if f(1) = 0

f(1)=3+9-7-5-3g+3g^2=0

⇒3g^2+3g=0

⇒g(g-1)=0

⇒g=0,1

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