11
RCMultiple Choice

Cumulative Exam — Cumulative exam

Question 11 • DCSS Advanced Algebra CR 24-25

A student factors 15c2 + c – 28 to the following. (c + 2)(15c – 14) Which statement about (c + 2)(15c – 14) is true?

Answer
A
The expression is equivalent, and it is completely factored.
B
The expression is equivalent, but it is not completely factored.
C
The expression is not equivalent, but it is completely factored.
D
The expression is not equivalent, and it is not completely factored.

Explanation

Expanding gives (c + 2)(15c − 14) = 15c² + 30c − 14c − 28 = 15c² + 16c − 28, not 15c² + c − 28. So the expression is not equivalent to the original. Both factors are linear and cannot be factored further, so the product is completely factored.

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