Question

Using factou theorem show
that 2x-3 is a
factor of f(x) = 2x^3
- 9x^2 +x+12​

Answer 1

=> 2x³ - 9x² + x + 12

2x-3 = 0

2x = 3

x = 3/2

=> 2(3/2)³ - 9(3/2)² + 3/2 + 12

=> 2(27/8) - 9(9/4) + 3/2 + 12

=> 27/4 - 81/4 + 3/2 + 12

=> 27-81+6+48/4

=> 81-81/4

=> 0/4

=> 0

Here, remainder = 0

Therefore, 2x-3 is the factor of given polynomial!

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