对于形如$x^2 + (a + b)x + ab$的多项式,可以利用十字相乘法,将其分解为$(x + a)(x + b)$。例如,$x^2 + 5x + 6$可以分解为$(x + 2)(x + 3)$。 3.3 十字相乘法 十字相乘法是一种特殊的因式分解方法,适用于二次多项式。其关键在于找到两个数,它们的和等于多项式...
1. Factor the following Polynomial: 2y^2 - 4y - 6 2. Factor the following Polynomial: 14y^2 - 9y - 1 Let f(x) = 3x^4 + x^3 + 4x^2 + 4x + 3 be a polynomial in Z_5x. Factorise f(x) as far as possible. Factorise the polynomial f(x) = 2x^3 +15x^2+3x...
therefore, the factorisation of x 3 + x 2 –x – 1 gives (x 2 -1) (x+1) solved examples question 1: check whether x+3 is a factor of x 3 + 3x 2 + 5x +15. solution: let x + 3= 0 => x = -3 now, p(x) = x 3 + 3x 2 + 5x +15 let us check the value of ...
(a)f(11)= 2(11)^3- 17(11)² -58(11) + 33(subst.)Note: 2662- 2057- 638 + 33 earns M markORattempt at dividing 2x^3- 17x² - 58x+ 33by(x- 11).(b)2x²+5x2x²+5x- 3Note: The M1, A1marks above may possibly be obtained in (a) above.(x+3)(2x-1)(a)N...
a level的数学.1.Simplify (x^3+7^x2+5x-28)/(x+4)2.Factorise completely x^3+5x^2-2x-243.Make r the subject of the formula 4.If ,find the value of y when x = 9 given that y = 24 when x = 4 .5.The probability that I oversleep on any given day is 1/10.If I ...
58_expand-and-factorise Edexcel GCSE Mathematics (Linear) – 1MA0 ALGEBRA:EXPAND & FACTORISE Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses,pen, HB pencil, eraser.Tracing paper may be used.Instructions...
8x+6x–2x+22y–2yCompleteyourdiagram Lettersfornumbers:a+b=10,whatcouldaandbbe?ifa=2,b=8whatisa+b?ifa=25,b=5whatisa+b?Letters,numbersandarea 6 2 b 5 Area?2x6=12 Area?5xb=5b Letters,numbersandarea 4 a 4 a Area?4x4=16Area?axa=a2 LettersandareayWhatisthearea yofthissquare?yxy=...
1a level的数学.1.Simplify (x^3+7^x2+5x-28)/(x+4)2.Factorise completely x^3+5x^2-2x-243.Make r the subject of the formula 4.If ,find the value of y when x = 9 given that y = 24 when x = 4 .5.The probability that I oversleep on any given day is 1/10.If I ov...