{"questions":[{"uuid":"7eedadac-3ffd-4582-96bc-1ff547a01458","question":"What is the factorization of the polynomial

x^2 - 5x + 6

?","answer":"(x - 2)(x - 3)","alternatives":["(x + 1)(x - 6)","(x + 2)(x + 3)","(x - 1)(x - 6)"],"answerExplanation":"To factor

x^2 - 5x + 6

, find two numbers whose product is 6 and sum is -5. These numbers are -2 and -3. Thus, the factorization is (x - 2)(x - 3).","hint":"Look for two numbers that multiply to 6 and add to -5.","imageEnabled":false,"duration":30,"latexEnabled":false,"audioEnabled":false,"htmlEnabled":true,"questionId":"7eedadac-3ffd-4582-96bc-1ff547a01458"},{"uuid":"2e24178d-bc7f-4af7-9af9-7b8ac4009b2d","question":"How can the polynomial

x^2 - 9

be factored?","answer":"(x - 3)(x + 3)","alternatives":["(x + 9)(x + 9)","(x - 9)(x + 1)","(x - 3)(x - 3)"],"answerExplanation":"

x^2 - 9

is a difference of squares, which can be factored as

(x - 3)(x + 3)

.","hint":"Recall the formula for factoring a difference of squares:

a^2 - b^2 = (a - b)(a + b)

.","imageEnabled":false,"duration":30,"latexEnabled":false,"audioEnabled":false,"htmlEnabled":true,"questionId":"2e24178d-bc7f-4af7-9af9-7b8ac4009b2d"},{"uuid":"d27b8d80-c534-4bb1-a58c-e55be79afaea","question":"What is the factorization of the polynomial

x^2 + 7x + 10

?","answer":"(x + 5)(x + 2)","alternatives":["(x + 10)(x - 1)","(x + 5)(x - 2)","(x - 5)(x - 2)"],"answerExplanation":"To factor

x^2 + 7x + 10

, find two numbers whose product is 10 and sum is 7. These numbers are 5 and 2, so the factorization is (x + 5)(x + 2).","hint":"Think of two positive numbers that multiply to 10 and add up to 7.","imageEnabled":false,"duration":30,"latexEnabled":false,"audioEnabled":false,"htmlEnabled":true,"questionId":"d27b8d80-c534-4bb1-a58c-e55be79afaea"}]}

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