Question

Without actual division prove that the polynomial 2x^3+4x^2+x-34 is exactly divisible by (x-2)

Answer 1

Hey!
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$p(x) = > 2x {}^{3} + 4x {}^{2} + x - 34 \\ \\ g(x) = > (x - 2) \\ \\ = > > x - 2 = 0 \\ \\ = > > x = 2 \\ \\ put \: x = 2 \: in \: p(x) \\ \\ = > 2(2) {}^{3} + 4(2) {}^{2} + 2 - 34 \\ \\ = > 2 \times 8 + 4 \times 4 + 2 - 34 \\ \\ = > 16 + 16 + 2 - 34 \\ \\ = > 32 + 2 - 34 \\ = > 34 - 34 = 0$

Hence P ( X ) is Zero for X = 2 .

Therefore , it is divisible by ( X - 2 )


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Answer 2

here is the answer......
mark as brainiest answer if you like.....