{"id":"cb_practice_pdf:t11-math-m2-q16","source_id":"cb_practice_pdf","source_item_id":"t11-math-m2-q16","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":"Part of this question was typeset outside the text flow — a fraction, subscript or similar — and PDF extraction re-inserted it in the wrong place. The wording is reliable; the symbols may be out of order.","form_id":"cb_practice_pdf:test-11","module_number":2,"position":16,"stem":"16 For the polynomial function f, the graph of = y f x in the xy-plane passes through the points ^ h -5,0, 1,0, and 4,0. Which of the following ^ h ^ h ^ h must be a factor of f x? ^ h","stimulus":"","stimulus_html":null,"stem_html":"<p>16 For the polynomial function f, the graph of = y f x in the xy-plane passes through the points ^ h -5,0, 1,0, and 4,0. Which of the following ^ h ^ h ^ h must be a factor of f x? ^ h</p>","rationale_html":"<p>Choice C is correct. It’s given that f is a polynomial function and the graph of = -5,0 1,0 4,0 y f^xh in the xy-plane passes through the points ^ h, ^ h, and ^ h. A ,0 - point in the form ^a h on the graph of f^xh means that x a is a factor of f^xh. 1,0 - Since the graph of the function f passes through the point ^ h, x 1 must be a factor of f^xh. = Choice A is incorrect. This is a factor if the graph of y f^xh passed through -1,0 = ^ h. Choice B is incorrect. This is a factor if the graph of y f^xh passed -4,0 = through ^ h. Choice D is incorrect. This is a factor if the graph of y f^xh 5,0 passed through ^ h.</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>x + 1</p>","ord":0},{"label":"B","content_html":"<p>x + 4 -</p>","ord":1},{"label":"C","content_html":"<p>x 1 -</p>","ord":2},{"label":"D","content_html":"<p>x 5</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}}