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Theorems for Differentiability

-3x2 + 5x - 2...

Question

$(- 3 x^{2} + 5 x - 2) - 2 (x^{2} - 2 x - 1)$
If the expression above is rewritten in the form $a x^{2} + b x + c$ , where $a, b$ and $c$ are constants, what is the value of $b$ ?

9

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Solution

The correct option is A $9$
The expression $(- 3 x^{2} + 5 x - 2) - 2 (x^{2} - 2 x - 1)$
$= - 3 x^{2} + 5 x - 2 - 2 x^{2} + 4 x + 2$
$= - 5 x^{2} + 9 x$
Comparing with $a x^{2} + b x + c$ , we get
$a = - 5, b = 9$

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