help with math?

Question

what is this: 12x(square)+43x-20

Answer 1

Quadratic Equation

12x² + 43x - 20 = 0

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The equation can be factored

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12x² + 43x - 20 = -0

The middle term is + 43x

Find the sum of the middle term

Multiply the first term 12 times the last term 20 equals 240 and factor.

Factors of 240

1 x 240
2 x 120
3 x 80
4 x 60
5 x 48. . .←. .use these factors
6 x 40
8 x 30
10 x 24
12 x 20
15 x 16

+ 48 and - 5 satisfy the sum of the middle term

Insert + 48x and - 5x into the equation

12x² + 43x - 20 = 0

12x² + 48x - 5x - 20 = 0

Group factor

(12x² + 48x) - (5x - 20) = 0

12x(x + 4) - 5(x + 4) = 0

(12x - 5)(x + 4) = 0

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Answer 2

Well I am not quite sure what you mean but I would answer it lke this: (12x-5) (x+4). It is a factor. If you need more of an explanation write back on top.

Answer 3

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Answer 4

12 x ² + 43 x - 20 = 0
(x+4)(12x-5) = 0
x = -4 . . . . and . . . x = 5/12