Question the-su
The sum of 
and 
can be written in the form 
, where a, b, and c are constants. What is the value of 
?
The sum of and can be written in the form , where a , b ,
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
The correct answer is 32. The sum of the given expressions is 
. Combining like terms yields 
. Based on the form of the given equation, 
, 
, and 
. Therefore, 
.
Alternate approach: Because 
is the value of when 
, it is possible to first make that substitution into each polynomial before adding them. When , the first polynomial is equal to
and the second polynomial is equal to 
. The sum of 30 and 2 is 32.
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