{"id":"cb_question_bank:777ac121-3311-43b0-9ee4-8bacd40dbd91","source_id":"cb_question_bank","source_item_id":"777ac121-3311-43b0-9ee4-8bacd40dbd91","external_id":null,"ibn":"025785-DC","question_id":"0121a235","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.C.","skill":"Nonlinear functions","difficulty":"H","score_band":7,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The table above gives selected values of a polynomial function p . Based on the values in the table, which of the following must be a factor of p ?","stimulus":"x p ( x ) x is negative 2 p of x is 5 x is negative 1 p of x is 0 x is 0 p of x is negative 3 x is 1 p of x is negative 1 x is 2 p of x is 0","stimulus_html":"
\n
\n \n \n \n \n \n \n \n \n \n \n \n \n
x\n p(x)
\n \n \"x\n \n \n \"p\n
\n \n \"x\n \n \n \"p\n
\n \n \"x\n \n \n \"p\n
\n \n \"x\n \n \n \"p\n
\n \n \"x\n \n \n \"p\n
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\n","stem_html":"

The table above gives selected values of a polynomial function p. Based on the values in the table, which of the following must be a factor of p ?

\n","rationale_html":"

Choice D is correct. According to the table, when x is \"negative or 2, \"p. Therefore, two x-intercepts of the graph of p are \"the and \"2. Since \"the and \"2 are x-intercepts, it follows that \"open and \"open are factors of the polynomial equation. This is because when \"x, the value of \"x is 0. Similarly, when \"x, the value of \"x is 0. Therefore, the product \"open is a factor of the polynomial function p.

Choice A is incorrect. The factor \"x corresponds to an x-intercept of \"the, which isn’t present in the table. Choice B is incorrect. The factor \"x corresponds to an x-intercept of \"the, which isn’t present in the table. Choice C is incorrect. The factors \"x and \"x correspond to x-intercepts \"with and \"negative, respectively, which aren’t present in the table.

\n","correct_answer":["D"],"has_media":true,"has_mathml":false,"has_table":true,"source_created_at":"2023-08-02T20:25:59.619000+00:00","source_updated_at":"2023-08-02T20:25:59.619000+00:00","options":[{"label":"A","content_html":"

\n \n \"open\n

\n","ord":0},{"label":"B","content_html":"

\n \n \"open\n

\n","ord":1},{"label":"C","content_html":"

\n \n \"open\n

\n","ord":2},{"label":"D","content_html":"

\n \n \"open\n

\n","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}