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Question
If p(x) = 2 + 5x then p(2) + p(−2) − p(1).
Sum
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Solution
p(x) = 2 + 5x
∴ p(2) = 2 + 5 × 2
= 2 + 10
∴ p(2) = 12
p(−2) = 2 + 5 × (−2)
= 2 − 10
∴ p(−2) = −8
p(1) = 2 + 5 × 1
= 2 + 5
= 7
∴ p(2) + p(−2) − p(1) = 12 + (−8) − 7
= 12 − 8 − 7
= 12 − 15
∴ p(1) = −3
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Chapter 3: Polynomials - Practice Set 3.5 [Page 53]
