2x4
2x2 = 4 , Four . 2x2 = 4 , Four .
2 cubed is 2x2 and 3 squared is 3x3x3x3, you can multiply 2x2 which equals 4 and 3x3x3x3 equals 81, (because 3x3 is 9 and 3x3 shows up 2 times you multiply 9,2 times) so then you have to multiply 81x4 81 x 4 ____ 324
If you mean: 2x2+11x+15 then it is (2x+5)(x+3) when factored
yes it is
2x2 + 5x - 3 (2x - 1)(x + 3)
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2x4
2x2 - 3 = 13 So 2x2 = 16 x2 = 8 So that x = ±2√2
(2x)2 times (2x)2 = 16x4 (2x2) times (2x2) = 4x4
2x2 = 4 , Four . 2x2 = 4 , Four .
2x2+10x+12/(x+3)We use long division just like we would normally.Let me give you an example.ex:Divide 7 into 23---------7 | 234We say ok, how many times does 7 go into 2?0 times, it doesn't work. So you put a 0 above the 2.Now we try 7 into 23. It can go 3 times, so we put a 3 above the 3 (in 234) and subtract 21. (3 *7) and then carry down the 4....03--------7|234-..21--------...024how many times will 7 go into 24? 3 again....033-------7|234-..21-------...024-....21--------.......3We're left with 3 as the remainder.Our answer to 234 divided by 7 is 33 remainder of 3, or 33 and 3/7.----This method works similarly with variables.2x2+10x+12/(x+3)----------------------x+3|2x2+10x+12We'll start the same way. How many times will X go into 2x2Or, what times X gives 2x2 x * 2x = 2x2So we write a 2x above the 2x2, just like we wrote the 3 in the example above........2x----------------------x+3|2x2+10x+12Now we multiply x+3 by 2x to figure out what to subtract.2x(x+3)= 2x2 +6xNotice we ended up with a 2x2? This is what we wanted to subtract! Something to note, when you do your subtraction, you're subtracting the entire expression 2x2 +6x.So you can write -2x2 - 6x........2x----------------------x+3|2x2+10x+12......-2x2 - 6x-----------------...............4x + 12Make sure you carry down the next term, the +12. Just like we carried down the 4 in the example above.Now, how many times will X go into 4x? 4 times. So we write a 4 next to the 2x.and then multiply 4(x+3). then subtract........2x + 4----------------------x+3|2x2+10x+12......-2x2 - 6x-----------------...............4x + 12..............-4x - 12---------------------........................0In this scenario we get a remainder of 0.This means that x+3 divides evenly into 2x2+10x+12.In fact, it can divide into it 2x +4 times.To check this, multiply (x+3)(2x+4) use FOIL.(x+3)(2x+4) = 2x2+10x+12 (check)Side note: If you did get a remainder, like in the 1st example. Let's say the remainder was 1.You take the remainder, 1 and put it over the divisor x +3.so your answer would be 2x+4 +(1/x+3)
2x2 + 5x + 3 Notice the first term, which can be rewritten as 2x times x. With this in mind, you can write the equation as...(2x + a)(x + b)...where -a and -b are the answers.You know that a times b is equal to 3.With a little trial and error, you will find:2x2 + 5x + 3 = (2x + 3)(x + 1)
8 times(2x2 - 5x - 3) = 8(2x + 1)(x - 3)
2x2 - 5x + 12 does not factor. 2x2 - 5x - 12 factors into (2x + 3)(x - 4) 2x2 + 5x - 12 factors into (2x - 3)(x + 4)
2x2+5x+3 = (2x+3)(x+1) when factored
If that's + 2x2, the answer is x(x + 3)(x - 1) x = 0, -3, 1 If that's - 2x2, the answer is x(x - 3)(x + 1) x = 0, 3, -1