1.

For each of the following polynomial, find p(1), p(0) and p(- 2).p(y) = x4 – 2x2 + x

Answer»

p(x) = x4 – 2x2 – x 

∴ p(1) = (1)4 – 2(1)2 – 1 

= 1 – 2 – 1 

∴ p(1) = -2 

∴ p(x) = x4 – 2x2 – x

 ∴ p(0) = (0)4 – 2(0)2 – 0 

= 0 – 0 – 0 

∴ p(0) = 0

p(x) = x4 – 2x2 – x 

∴ p(-2) = (-2)4 – 2(-2)2 – (-2)

 = 16 – 2(4) + 2 

= 16 – 8 + 2 

∴ p(-2) = 10



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