Question

If x = -2 is a root of the polynomial P(x) = -2x4 - 7x3 - 3x2 - tx - 10, then find the value of t.

Answer 1

$hey \: mate \: here \: is \: your \: answer -$
$p(x) = - 2x {}^{4} - 7x {}^{3} - 3x {}^{2} - tx - 10$
$- 2x {}^{4} - 7x {}^{3} - 3x {}^{2} - tx - 10 = 0$

$on \: putting \: x = - 2$
$- 2( - 2) {}^{4} - 7( - 2) {}^{3} - 3( - 2) {}^{2} - t( - 2) - 10 = 0$
$- 2(16) - 7( - 8) - 3(4) + 2t - 10 = 0$
$- 32 + 56 - 12 + 2t- 10 = 0$
$56 - 54 + 2t = 0$
$2 + 2t = 0$
$2t = - 2$
$t = - 2 \div 2$
$t = - 1$

$hence \: the \: value \: of \: t \: is \: - 1$
$hope \: it \: helps.....$

Answer 2

Answer:t= -1

Step-by-step explanation: