Question

If x=-2 is a root of the polynomialp(x) =-2x^4-7x^3-3x^2-tx-10,then find the value of t

Answer 1

Answer:

The value of the t when the value of x=-2 is a root of a polynomial

Step-by-step explanation:

x=-2 is a root of a polynomial

p[x]=-2x⁴-7x³-3x²-tx-10

p[-2]=-2×[-2]⁴-7×[-2]³-3×[-2]²-t×[-2]-10=0

-2×16-7×-8-3×4-t×-2-10=0

-32+56-12+2t-10=0

24-22+2t=0

2+2t=0

2t=-2

t=-1

p[-2]=-2×16-7×-8×-3×4+2-10=0

-32+56-22+2=0

24-22-2=0

2-2=0

0=0

Therefore hence it is proved