The value of the expression x2-5 x-4 when x-3 is- -32-5 -3-4-9-15-4-28A- TrueB- False

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Expansion of (a ± b ± c)²

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Question

The value of the expression $x^{2} - 5 x + 4 w h e n x = - 3$ is,
$(- 3)^{2} - 5 \times - 3 + 4 = 9 + 15 + 4 = 28$

True

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False

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Solution

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The value of following expression when $x = - 3$ ,

$x^{2}$ − 5x + 4 gives $(- 3)^{2}$ − 5 (−3) + 4 = 9 + 15 + 4 = 28

The value of following expression when x = 3, $x^{2}$ − 5x + 4 gives $(- 3)^{2}$ − 5 (−3) + 4 = 9 + 15 + 4 = 28

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

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

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

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