If x= -2 is a root of the polynomial P(x) = -2XA
- 7x3 - 3x2-tx-10, then find the value of t.
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Answer:
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Given :
x = -2
Equation :
-2x^4 - 7x^3 - 3x^2 - tx - 10
the value of t =?
Solution :
• -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 + 2t - 10
° -32 + 56 - 12 + 2t - 10
° 24 - 22 + 2t
° 2 + 2t
° 2t = -2
° t = -1
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