{"id":"cb_practice_pdf:t6-math-m2-q12","source_id":"cb_practice_pdf","source_item_id":"t6-math-m2-q12","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":null,"form_id":"cb_practice_pdf:test-6","module_number":2,"position":12,"stem":"(x+2)(x−5)(x+9) = 0 What is a positive solution to the given equation?","stimulus":"","stimulus_html":null,"stem_html":"<p>(x+2)(x−5)(x+9) = 0 What is a positive solution to the given equation?</p>","rationale_html":"<p>Choice C is correct. Applying the zero product property to the given equation +2=0 -5=0 +9=0 yields three equations: x , x , and x . Subtracting 2 from both +2=0 =- sides of the equation x yields x 2. Adding 5 to both sides of the -5=0 = equation x yields x 5. Subtracting 9 from both sides of the equation +9=0 =- - x yields x 9. Therefore, the solutions to the given equation are 2, 5, - and 9. It follows that a positive solution to the given equation is 5. 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 D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["C"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>3</p>","ord":0},{"label":"B","content_html":"<p>4</p>","ord":1},{"label":"C","content_html":"<p>5</p>","ord":2},{"label":"D","content_html":"<p>18</p>","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}