Question which-

2.4 Equivalent Expressions - Simplifying polynomials
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Which expression is equivalent to 2x2+x-9+x2+6x+1?

A.

2 x 2 + 7 x + 10

B.

2 x 2 + 6 x - 8

C.

3 x 2 + 7 x - 10

D.

3 x 2 + 7 x - 8

Which expression is equivalent to 2 x 2 + x - 9 + x 2 +

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 D is correct. The given expression is equivalent to 2x2+x+-9+x2+6x+1, which can be rewritten as 2x2+x2+x+6x+-9+1. Adding like terms in this expression yields 3x2+7x+-8, or 3x2+7x-8.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.