4
Question
Find and correct the errors in the following mathematical
statement. Substituting x = −3 in
(a) x2 + 5x + 4 gives (−3)2
+ 5 (−3) + 4 = 9 + 2 + 4 = 15
(b) x2 − 5x + 4 gives (−3)2
− 5 (−3) + 4 = 9 − 15 + 4 = −2
(c) x2 + 5x gives (−3)2
+ 5 (−3) = −9 − 15 = −24
Find and correct the errors in the following mathematical statement. Substituting x = −3 in
(a) x2 + 5x + 4 gives (−3)2 + 5 (−3) + 4 = 9 + 2 + 4 = 15
(b) x2 − 5x + 4 gives (−3)2 − 5 (−3) + 4 = 9 − 15 + 4 = −2
(c) x2 + 5x gives (−3)2 + 5 (−3) = −9 − 15 = −24
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Solution
(a) For x = −3,
x2 + 5x + 4 = (−3)2 + 5
(−3) + 4 = 9 − 15 + 4 = 13 − 15 = −2
(b) For x = −3,
x2 − 5x + 4 = (−3)2
− 5 (−3) + 4 = 9 + 15 + 4 = 28
(c) For x = −3,
x2 + 5x = (−3)2 + 5(−3)
= 9 − 15 = −6
(a) For x = −3,
x2 + 5x + 4 = (−3)2 + 5 (−3) + 4 = 9 − 15 + 4 = 13 − 15 = −2
(b) For x = −3,
x2 − 5x + 4 = (−3)2 − 5 (−3) + 4 = 9 + 15 + 4 = 28
(c) For x = −3,
x2 + 5x = (−3)2 + 5(−3) = 9 − 15 = −6
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