Identify the coefficient of $t$ in the expression $t^2 + 8t + 15$.","back":"$$8$","points":1},{"id":"2788de7f-07dc-4400-912a-20631e7a3b15","cardType":"basic","front":"What is the primary goal when factorising a quadratic expression?","back":"To rewrite it as a product of brackets.","points":1},{"id":"226a6bfe-8625-44e9-b084-a5249874f20b","cardType":"cloze","front":"The mathematical process of [ ] is the reverse of expanding brackets.","back":"The mathematical process of factorising is the reverse of expanding brackets.","points":null},{"id":"9de2d472-3f8b-439b-aeaf-0a86bc94ce02","cardType":"cloze","front":"The mathematical process of factorising is the reverse of [ ] brackets.","back":"The mathematical process of factorising is the reverse of expanding brackets.","points":null},{"id":"ef700dc6-8f06-42ec-b704-378dd107753e","cardType":"basic","front":"When factorising $x^2 + bx + c$, what relationship must the two chosen numbers have with the constant term $c$?","back":"They must multiply to make $c$.","points":1},{"id":"0105168b-7efb-422e-a925-ce60fe8ec21f","cardType":"basic","front":"When factorising $x^2 + bx + c$, what relationship must the two chosen numbers have with the coefficient $b$?","back":"They must add to make $b$.","points":1},{"id":"4ed84618-2af8-4187-9630-d1b2343f761a","cardType":"basic","front":"If the constant term $c$ is positive, what does this indicate about the signs in the factorised brackets?","back":"The signs are the same (both positive or both negative).","points":1},{"id":"33af41f0-8876-4fbf-9ced-951cd809f8da","cardType":"cloze","front":"In $x^2 + bx + c$, if $c$ is positive and $b$ is negative, then [ ] signs in the brackets must be negative.","back":"In $x^2 + bx + c$, if $c$ is positive and $b$ is negative, then both signs in the brackets must be negative.","points":null},{"id":"476c5eda-9254-4f57-89a9-0a4ae2253ff6","cardType":"cloze","front":"In $x^2 + bx + c$, if $c$ is positive and $b$ is negative, then both signs in the brackets must be [ ].","back":"In $x^2 + bx + c$, if $c$ is positive and $b$ is negative, then both signs in the brackets must be negative.","points":null},{"id":"5150ecd5-50d0-4cc3-962e-be4b1cc04cbc","cardType":"basic","front":"If the constant term $c$ is negative, what does this indicate about the signs in the factorised brackets?","back":"The signs are different (one positive, one negative).","points":1},{"id":"2013f485-c784-4650-88b8-1ff7813f84a1","cardType":"basic","front":"When factorising $y^2 + y - 30$, why is the larger factor ($6$) positive and the smaller factor ($5$) negative?","back":"Because the middle term ($+y$) is positive, so the factors must sum to $+1$.","points":2},{"id":"101d5ed3-9884-41ec-9d1d-1f977cf88de0","cardType":"cloze","front":"To quickly check if a factorisation is correct, you should mentally [ ] the brackets.","back":"To quickly check if a factorisation is correct, you should mentally expand the brackets.","points":null},{"id":"4cefec6d-ce33-4500-a400-84e92477e7df","cardType":"basic","front":"What does the zero product rule state regarding $(x+a)(x+b) = 0$?","back":"Either $x+a = 0$ or $x+b = 0$.","points":2},{"id":"e5daa114-2c91-4067-a7ef-e202a9d0226b","cardType":"basic","front":"What are the solutions or roots of a quadratic equation?","back":"The values of the variable that make t

Solving Quadratics Flashcards

Solving Quadratics Flashcards

Solving Quadratics Flashcards

Solving Quadratics Flashcards