Question

if ( x - 2 ) be a factor of the polynomial p(x) = 2x^3 + 3x^2 - 5x + k , find the value of k

Answer 1

Heya !!!


X - 2 = 0

X = 2

P(X) = 2X³ + 3X² - 5X + K


P(2) = 2 × (2)³ + 3 × (2)² - 5 × 2 + K




=> 2 × 8 + 3 × 4 - 10 + K = 0



=> 16 + 12 - 10 + K = 0



=> K + 18 = 0



=> K = -18



★ HOPE IT WILL HELP YOU ★

Answer 2

Here is your answer


x=2


2×(2)^3+3×(2)^2-5×2+k = 0

k +28 - 10 = 0

k = -18


Hope it helps you ^_^