Looking at the function:
x2 + 12x + 28
We know that in order to factor it, we would need two numbers whose product is equal to 28 and whose sum is equal to twelve. We know they must both be positive, as both their sum and their product are positive. That means our possible numbers to combine are all the positive factors of 28:
1, 2, 4, 7, 14, 28
As it happens, no two of these will add up to 12, which tells us that yes, the original polynomial is prime.
x2+12x+28Improved Answer:--x2+12x+28 = (-x+14)(x+2) when factored
12x - 28 = 7x - 63Subtract 7x from each side:5x - 28 = -63Add 28 to each side:5x = -35Divide each side by 5:x = -7
x = -28 / -11^2
I think you misworded your question. I am not exactly sure what you are looking for. If you want to know the prime factorization of the number 28, it is, 2^2 * 7. That is two squared times seven.
2 x 2 x 7 or 2 squared x 7
x2+12x+28Improved Answer:--x2+12x+28 = (-x+14)(x+2) when factored
-2x+12x+28=10x+28 ;Combining like factors2(5x+14) ; Factor out a two from both of them
I would do this. Multiply through by -1 -1 ( -X^2 +12X +28 ) = X^2 -12X -28 (X+2)(X-14)
12x - 28 = 7x - 63Subtract 7x from each side:5x - 28 = -63Add 28 to each side:5x = -35Divide each side by 5:x = -7
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2 squared times 7
x = -28 / -11^2
I think you misworded your question. I am not exactly sure what you are looking for. If you want to know the prime factorization of the number 28, it is, 2^2 * 7. That is two squared times seven.
2 x 2 x 7 or 2 squared x 7
12x - 28 = 18x - 88Put the variables on one side and the constants on the other by subtracting 12x from both sides and adding 88 to both sides. 12x - 12x - 28 + 88 = 18x - 12x - 88 + 88 Simplify 60 = 6x Divide both sides by 6 x = 10 If you want to check your answer, which is always a good idea, plug in 10 for x in the original expression and see if you get a true statement: 12(10) - 28 = 18(10) - 88 120 - 28 = 180 - 88 92 = 92
Do you mean 8x2+12x+28?? If so, plug 8,12, and 28 into a,b, and c of this website http://www.math-booster.com/calculators/quadratic-formula.html the answer is imaginary or No Solution
784 is a squared number because 28*28 = 784