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SAT Math Practice Question #31346 - SATify | SATify

#31346

polynomials

equations

medium

90 sec

Consider the equation $k (x - a) = m (x - a) (x - b)$ , where $k, m, a, b$ are constants and $m \neq = 0$ . Which of the following statements must be true about the solutions to this equation?

A.

There is exactly one solution, $x = a$ .

B.

There are exactly two solutions, $x = a$ and $x = b$ .

C.

If $k = 0$ , then $x = a$ is the only solution.

D.

One solution is always $x = a$ .