A student factors 10 x squared plus 3 x minus 27 to the following. open paren 2 x minus 3 close paren times open paren 5 x plus 9 close paren Which statement about open paren 2 x minus 3 close paren times open paren 5 x plus 9 close paren is true?

Multiply the factors: (2x − 3)(5x + 9) = 10x² + 18x − 15x − 27 = 10x² + 3x − 27, so the expression is equivalent to the original. Both factors are linear and cannot be factored further over the integers, so it is completely factored. The true statement is “The expression is equivalent, and it is completely factored.”

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