Will the value of $2 x^{2} + 12 x + 3$ for x = - 4 be greater than or less than 15? Explain. [3 MARKS]

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Solution

Solving expression : 1 Mark
Steps : 1 Mark
Greater or lesser : 1 Mark

Value of the expression for $x = - 4$

$2 x^{2} + 12 x + 3$

$2 (- 4)^{2} + 12 (- 4) + 3$

$2 (16) - 48 + 3$

$32 - 48 + 3 = - 15$

Hence, the value of expression $2 x^{2} + 12 x + 3$ at $x = - 4$ is lesser than 15.

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Similar questions

(i) Will the value of $2 x^{2} + 12 x + 3$ for x = - 4 be greater than or less than 15?

(ii) If $x^{2}$ is added to $2 x^{2} + 12 x + 3$ and 15 is subtracted from it then evaluate its value at x = -4? [3 MARKS]

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Will the quotient $7 \frac{1}{6} \div 3 \frac{2}{3}$ be a fraction greater than 1.5 or less than 1.5? Explain.

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Will the value of 2x2+12x+3 for x = - 4 be greater than or less than 15? Explain. [3 MARKS]

Solving expression : 1 Mark Steps : 1 Mark Greater or lesser : 1 Mark Value of the expression for x=−4 2x2+12x+3 2(−4)2+12(−4)+3 2(16)−48+3 32−48+3=−15 Hence, the value of expression 2x2+12x+3 at x=−4 is lesser than 15.

Will the value of $2 x^{2} + 12 x + 3$ for x = - 4 be greater than or less than 15? Explain. [3 MARKS]

Solving expression : 1 Mark
Steps : 1 Mark
Greater or lesser : 1 Mark

Value of the expression for $x = - 4$

$2 x^{2} + 12 x + 3$

$2 (- 4)^{2} + 12 (- 4) + 3$

$2 (16) - 48 + 3$

$32 - 48 + 3 = - 15$

Hence, the value of expression $2 x^{2} + 12 x + 3$ at $x = - 4$ is lesser than 15.