Question

What is the value of polynomial 3xsquare - 5x + 2 at x= 1/3?

Answer 1

Hey friend,

Here is the solution :-

$here \: p(x) = {3x}^{2} - 5x + 2 \\ \\x = \frac{1}{3} \\ \\ p( \frac{1}{3} ) = 3( \frac{1}{3} )^{2} - 5( \frac{1}{3} ) + \frac{2}{1} \\ \\ p( \frac{1}{3} ) = 3( \frac{1}{9} ) - 5( \frac{1}{3} ) + \frac{2}{1} \\ \\ p( \frac{1}{ 3 } ) = 3 \times \frac{1}{9} - 5 \times \frac{1}{3} + \frac{2}{1} \\ \\ p( \frac{1}{3} ) = \frac{3}{9} - \frac{5}{3} + \frac{2}{1} \\ \\ p( \frac{1}{3} ) = \frac{3 \times 1 - 5 \times 3 + 2 \times 9}{9} \\ \\ p( \frac{1}{3} ) = \frac{3 - 15 + 18}{9} \\ \\ p( \frac{1}{3} ) = \frac{ - 15 + 21}{9} \\ \\ p( \frac{1}{3} ) = \frac{6}{9} \\ \\ p( \frac{1}{3} ) = \frac{2}{3}$

$the \: value \: of\: this \: polynomial \: when \: \\ x = \frac{1}{3} \: \: \: \: is \: \: \: \: \frac{2}{3}$

✨I hope this will help you....✨