Question

Find the remainder when p(x) = 2x³ - 3x² + 4x - 2 is divided by p(-1).​

Answer 1

Qᴜᴇsᴛɪᴏɴ :-

Find the remainder when p(x) = 2x³ - 3x² + 4x - 2 is divided by p(-1).

Sᴏʟᴜᴛɪᴏɴ :-

Putting the p = (-1) in the p(x),

$\sf\to\:\:2 \times {(-1)}^{3} - 3 \times {(-1)}^{2} + 4 \times (-1) - 2$

$\sf\to\:\: 2 \times (-1) - 3 \times (-1) + (-4) - 2$

$\sf\to\:\: -2 - (-3) - 4 - 2$

$\sf\to\:\: -2 + 3 - 4 - 2$

$\sf\to\:\: - 8 + 3$

$\sf\to\:\: -5$

$\large{\boxed{\sf Hence,\: the\: remainder \:is \:-5}}$