Question

calculate the zeroes of the polynomial f(x) = 2x^3 -9x^2 + x + 12​

Answer 1

If g(x) is a factor of f(x), then the remainder will be zero that is g(x) = 0. g(x) = 3 – 2x = 0, then x = 3 2 32 Remainder = f( 3 2 32) Now, f( 3 2 32) = 2( 3 2 32)3 – 9( 3 2 32)2 + ( 3 2 32) + 12 = 2 x 27 8 278 – 9 x 9 4 94 + 3 2 32 + 12 = 27 4 274 – 81 4 814 + 3 2 32 + 12 = 0 4 04 = 0 Therefore, g(x) is a factor of f(x).

Step-by-step explanation:

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