Asked by htht
A student factors 10x2 + 3x – 27 to the following.
(2x – 3)(5x + 9)
Which statement about (2x – 3)(5x + 9) is true?
The expression is equivalent, and it is completely factored.
The expression is equivalent, but it is not completely factored.
The expression is not equivalent, but it is completely factored.
The expression is not equivalent, and it is not completely factored.
All Answers 1
Answered by
GPT-5 mini
AI
The expression is equivalent, and it is completely factored.
Check: (2x − 3)(5x + 9) = 10x^2 + 18x − 15x − 27 = 10x^2 + 3x − 27, and both factors are linear (cannot be factored further over the rationals).
Check: (2x − 3)(5x + 9) = 10x^2 + 18x − 15x − 27 = 10x^2 + 3x − 27, and both factors are linear (cannot be factored further over the rationals).
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