What is the product of the roots of the equation $y = |x|^2 - 4|x| + 3$ ?

Correct answer marked below

-12

-3

Correct

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Explanation

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Official Explanation

Official

The equation can be expressed in the standard form

y=ax^2+bx+c

, where the product of the roots is given by

\frac{c}{a}

. The equation can be divided into two separate equations:

x^2-4x+3

for

x>3

and…

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What this question tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.