Question

Correct answer gets brainliest.

Answer 1

P(x) = 3x³ + 2x² - 3x + 5
$p(x) \: = \: 3 {x}^{3} \: + \: 2 {x}^{2} \: - \: 3x \: + \: 5$
When x = 1/2,
$p( \frac{1}{2} ) \: = \: 3 {( \frac{1}{2}) }^{3} \: + \: 2 {( \frac{1}{2}) }^{2} \: - \: 3( \frac{1}{2} ) \: + \: 5$
$p( \frac{1}{2} ) \: = \: 3( \frac{1}{8} ) \: + \: 2( \frac{1}{4} ) \: - \: 3( \frac{1}{2} ) \: + \: 5$
$p( \frac{1}{2} ) \: = \: \frac{3}{8} \: + \: \frac{2}{4} \: - \: \frac{3}{2} \: + \: 5$
$p( \frac{1}{2} ) \: = \: \frac{3}{8} \: + \: \frac{4}{8} \: - \: \frac{12}{8} \: + \: \frac{40}{8}$
$p( \frac{1}{2} ) \: = \: \frac{35}{8}$
$p( \frac{1}{2} ) \: = \: 4 \frac{3}{8}$