Question

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

Answer 1

Step-by-step explanation:

x=-2

p(x)=2x*4-7x³-3x²-tx-10

p(-2)=2(-2)*4-7(-2)³-3(-2)²-t(-2)-10

p(-2)=32+56-12+2t-10

88-12+2t-10

=76+2t-10

=66+2t=0

t=-33

Answer 2

Answer:

t = -1

Step-by-step explanation:

x = -2

p(x) = − 2x^4-7x^3-3x^2-tx-10

= - 2 × (-2)^4 - 7(-2)^3 - 3(-2)^2 - t(-2) - 10

= -2 * 16 - 7*-8 - 3*4 - (-2)t - 10

= - 32 - (-56) - 12 +2t -10

= 24 - 12 + 2t - 10

= 12 - 10 + 2t

= 2 + 2t

2+2t=0

2t = 0-2

2t = -2

t = -2/2

t = -1