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MATHS Q. (PLEASE HELP ME!! )

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1. Consider the polynomial ax^2 + 13x + c, where a,c are integers. Moreover, a is greater or equal to 1 and smaller or equal to 4 c is greater or equal to -30 and smaller or equal to 30.TASK:Find as many as possible pairs (a,c) such that the cross multiplication method can be applied on... 顯示更多 1. Consider the polynomial ax^2 + 13x + c, where a,c are integers. Moreover, a is greater or equal to 1 and smaller or equal to 4 c is greater or equal to -30 and smaller or equal to 30. TASK: Find as many as possible pairs (a,c) such that the cross multiplication method can be applied on factorization of the polynomial ax^2 + 13x + c i.e. ax^2 + 13x + c = (mx + p)(nx + q) Please show how you get the answers. Any strategy?

最佳解答:

first, A can be equal to1, 2, 3 ,4 C can be equal to -30, -29, -28, -27, ... until positive 30 first, u can sub a=1 and c= -30 into the eqt. x^2+13x-30=0 (x-2)(x+15)=0 second, u can sub a=2 andc=-29 into the eqt. 2x^2+13x-29=0 no cross multiplication can be formed when a=3 and c=-28 3x^2+13x-28=0 no cross multiplication can be formed when a=4 and c=-27 4x^2+13x-27=0 no cross multiplication can be formed then worked on the steps so on.. there are no ways for you to do this kind of q. , u must try everyone of it! work hard!

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