Question

verify whether (2x-3) is a factor of 2xsq-3x+5 or not​

Answer 1

Hello mate....!!!

given......

eqn....

$2x {}^{2} - 3x + 5 = 0 \\ \\ and \\one \: factor = > 2x - 3 = 0 = > 2x = 3 \\ = > x = \frac{3}{2} ......sub \: the \: value \: in \: eqn.. \\ \\ 2 \times ( \frac{3}{2} ) {}^{2} - 3( \frac{3}{2} ) + 5 = 0 \\ 2 \times ( \frac{9}{4} ) - \frac{9}{4} + 5 = 0 \\ \frac{18}{4} - \frac{9}{4} + 5 = 0 \\ \frac{9}{4} + 5 = 0 \\9 + 20 = 0 \\ 29 = 0 \\ given \:factor \: is \: not \: stisfies \: de \: eqn..... \\ \\ hope \: it \: helps \: u$