7
Question
If p
= −2, find the value of:
(i) 4p
+ 7
(ii) −3p2
+ 4p + 7
(iii) −2p3
− 3p2 + 4p + 7
If p = −2, find the value of:
(i) 4p + 7
(ii) −3p2 + 4p + 7
(iii) −2p3 − 3p2 + 4p + 7
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Solution
(i) 4p
+ 7 = 4 × (−2) + 7 = − 8 + 7 = −1
(ii) −
3p2 + 4p + 7 = −3 (−2) ×
(−2) + 4 × (−2) + 7
= − 12 − 8 + 7 = −13
(iii) −2p3
− 3p2 + 4p + 7
= −2 (−2) × (−2) × (−2) − 3
(−2) × (−2) + 4 × (−2) + 7
= 16 − 12 − 8 + 7 = 3
(i) 4p + 7 = 4 × (−2) + 7 = − 8 + 7 = −1
(ii) − 3p2 + 4p + 7 = −3 (−2) × (−2) + 4 × (−2) + 7
= − 12 − 8 + 7 = −13
(iii) −2p3 − 3p2 + 4p + 7
= −2 (−2) × (−2) × (−2) − 3 (−2) × (−2) + 4 × (−2) + 7
= 16 − 12 − 8 + 7 = 3
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