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If the polynomial p in the variable x is defined by p(x) =

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by fskilnik@GMATH » Wed Feb 06, 2019 5:46 am

Timer

00:00

Answers

A

B

C

D

E

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Difficulty—

Image

GMATH practice exercise (Quant Class 14)

Answer: [spoiler] ______(D)___[/spoiler]
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
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Source: — Data Sufficiency |
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by fskilnik@GMATH » Thu Feb 07, 2019 6:08 am
fskilnik@GMATH wrote:Image

GMATH practice exercise (Quant Class 14)
$$p\left( x \right) = k{x^2} - kx - 12\,\,\,\,\,\left( * \right)$$
$$? = k$$
$$\left( 1 \right)\,\,\,0\,\, = \,\,p\left( 3 \right)\,\,\mathop = \limits^{\left( * \right)} \,\,k{\left( 3 \right)^2} - k\left( 3 \right) - 12\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,k\,\,{\rm{unique}}\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,{\rm{SUFF}}.$$
$$\left( 2 \right)\,\,\,0 = p\left( { - 2} \right)\,\,\mathop = \limits^{\left( * \right)} \,\,k{\left( { - 2} \right)^2} - k\left( { - 2} \right) - 12\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,k\,\,{\rm{unique}}\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,{\rm{SUFF}}{\rm{.}}$$

The correct answer is therefore (D).


We follow the notations and rationale taught in the GMATH method.

Regards,
Fabio.
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
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