1 A 1 B 1 C 1 D 2 3 4 5

Q. 2

Determine whether

Class 9th Tamilnadu Board Math Term-I 3. Algebra

Answer :

Let f(x) = x³ + 3x² – 5x + 36.

By factor theorem,

x + 4 = 0: x = – 4

If f(– 4) = 0, then (x + 4) is a factor

∴f(– 4) = (– 4)³ + 3(– 4)² – 5(– 4) + 36

= – 64 + 48 + 20 + 36

= – 64 + 104 = 40

∴f(– 4) is not equal to 0

So, (x + 4) is not a factor of f(x).

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