Question

if X=-2 is a root of the polynomial p(X) =-2x^2 -7x^3-3x^2 -tx -10 , then find the value of t​

Answer 1

Step-by-step explanation:

Given, x = -2

P(x) = -2x^2 - 7x^3 - 3x^2 - tx - 10

Substitute value of x in p(x)

-2(-2)^2 -7(-2)^3 -3(-2)^2 - t(-2) - 10 = 0 [p(x) = 0 because x is a root of p(x)]

So, -8 +56 -12 +2t -10 = 0

2t - 26 = 0

2t = 26

t = 13

Thus, value of t = 13