Question the-eq
The equation 
is true for all 
, where a and d are integers. What is the value of 
?
0
1
The equation is true for all , where a and d are integers. What is the
Hard-difficulty · SAT Math · Equivalent Expressions — Simplifying polynomials. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice C is correct. Since the expression 
can be factored as 
, the given equation can be rewritten as 
. Since , 
is also not equal to 0, so both the numerator and denominator of 
can be divided by . This gives 
. Equating the coefficient of x on each side of the equation gives 
. Equating the constant terms gives 
. The sum is 
.
Choice A is incorrect and may result from incorrectly simplifying the equation. Choices B and D are incorrect. They are the values of d and a, respectively, not .
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