Best Answer

x2+12x+28

Improved Answer:-

-x2+12x+28 = (-x+14)(x+2) when factored

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Q: What is the factorization of the trinomial -x2 plus 12x plus 28?

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12x - 28 = 7x - 63Subtract 7x from each side:5x - 28 = -63Add 28 to each side:5x = -35Divide each side by 5:x = -7

(x - 14)(x - 2)

That factors to (x - 14)(x - 2)

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

Prime factorization of 28 is: 2 x 2 x 7

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I would do this. Multiply through by -1 -1 ( -X^2 +12X +28 ) = X^2 -12X -28 (X+2)(X-14)

-(x - 14)(x + 2)

-2x+12x+28=10x+28 ;Combining like factors2(5x+14) ; Factor out a two from both of them

12x - 28 = 7x - 63Subtract 7x from each side:5x - 28 = -63Add 28 to each side:5x = -35Divide each side by 5:x = -7

That factors to (x - 14)(x - 2)

(x - 14)(x - 2)

That doesn't factor neatly. Applying the quadratic formula, we find two real solutions:-6 plus or minus 2 times the square root of 2 x = -3.1715728752538097 x = -8.82842712474619

12x2+13x-35 = (4x-5)(3x+7) 12x2 + 13x- 35 let's find two factors of -420 (12*-35) whose sum is 13, which are 28 and -15 (12x + 28)(12x - 15) now simplify by 4 and 3 (3x + 7)(4x - 5)

No. The prime factorization of 28 is 2x2x7.

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

Factorization of 28The factorization of 28 is:1 X 282 X 144 X 7So, the factors of 28 are:1, 2, 4, 7, 14, 28

Prime factorization of 28 is: 2 x 2 x 7