Question

please answer this question​

Answer 1

Answer:

$p(x) = 2x {}^{3} - 11 x{}^{2} + 17x - 6 \\ p( \frac{1}{2} ) = 2( \frac{1}{2}) {}^{3} - 11( \frac{1}{2} ) {}^{2} + 17( \frac{1}{2} ) - 6 \\ \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{4} - \frac{11}{4} + \frac{17}{2} - 6 \\ \: \: \: \: \: \: \: \: \: \: \: = \frac{1 - 11 + 34 - 24}{4} \\ \: \: \: \: \: \: \: \: \: \: \: = \frac{35 - 35}{4} = \frac{0}{4} = 0$

since p(1/2)= 0

therefore, 1/2 is a zero if given polynomial ...