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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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