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Algebraic Expressions

Question 10ii...

Question

Question 10(iii)
Find and correct the errors in the following mathematical statement. Substituting $x = - 3$ in
$x^{2} + 5 x g i v e s (- 3)^{2} + 5 (- 3) = - 9 - 15 = - 24$

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Solution

$F o r x = - 3 x^{2} + 5 x = (- 3)^{2} + 5 (- 3) = 9 - 15 = - 6$

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x = - 3

x^{2} + 5 x + 4 g i v e s (- 3)^{2} + 5 (- 3) + 4 = 9 + 2 + 4 = 15

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

x = - 3

x^{2} + 5 x + 4

(- 3)^{2} + 5 (- 3) + 4 = 9 + 2 + 4 = 15

x^{2} - 5 x + 4

(- 3)^{2} - 5 (- 3) + 4 = 9 - 15 + 4 = - 2

x^{2} + 5 x

(- 3)^{2} + 5 (- 3) = - 9 - 15 = - 24

Substituting $x = - 3$ in $x^{2} + 5 x$ gives $3^{2} + 5 (- 3) = - 9 - 15 = - 24.$

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