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

Answer:

t = 33

Step-by-step explanation:

P(x) = 2x^4 -7x^3 -3x^2 -tx -10 (1)

Putting x = -2 then p(-2) =0

p(-2) = 0

2*(-2)^4 -7*(-2)^3 -3*(-2)^2 - t(-2) -10 = 0

32 - 7*(-8) -3*(4) -2t -10 =0

22 +56 -12 -2t =0

2t = 66

t = 33