Question

If (x -2) is a factor of the polynomial P(x) = -2x^4 - 7x^3 - 3x^2 - tx - 10, then find the value of t.

Answer 1

$x - 2 = 0 \\ x = 2 \\ -2x^4 - 7x^3 - 3x^2 - tx - 10 = 0 \\ - 2 \times 16 - 7 \times 8 - 3 \times 4 - t \times 2 - 10 = 0 \\ - 32 - 56 - 12 - 2t - 10 = 0 \\ - 2t = 110 \\ t = \frac{ - 110}{2} \\ { \red{ \ t = - 55}} \: ans.$

${\huge\mathcal{\fcolorbox{lime}{black}{\pink{FROM \: ➝ \: ADESH \: KUMAR}}}}$