Question which-

2.4 Equivalent Expressions - Simplifying polynomials
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Which expression is equivalent to 23 x 3 + 2 x 2 + 9 x ?

A.

23xx2+2x+9

B.

9x23x3+2x2+1

C.

x23x2+2x+9

D.

34x3+x2+x

Which expression is equivalent to 23 x 3 + 2 x 2 + 9 x ?

Medium-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 x is a common factor of each term in the given expression, the given expression can be rewritten as x23x2+2x+9.

Choice A is incorrect. This expression is equivalent to 23x3+46x2+207x.

Choice B is incorrect. This expression is equivalent to 207x4+18x3+9x.

Choice D is incorrect. This expression is equivalent to 34x3+34x2+34x.