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mr_godi [17]
4 years ago
8

Factor completely

Mathematics
1 answer:
Charra [1.4K]4 years ago
4 0
2.) 2x^2 - 3x - 14 = 0
2x^2 + 4x - 7x - 14 = 0
2x(x + 2) - 7(x + 2) = 0
(2x - 7)(x + 2) = 0

3.) x^2 + 7x = 18
x^2 + 7x - 18 = 0
x^2 - 2x + 9x - 18 = 0
x(x - 2) + 9(x - 2) = 0
(x + 9)(x - 2) = 0

4.) 9x^2 + 30x + 25 = 9x^2 + 15x + 15x + 25 = 3x(3x + 5) + 5(3x + 5) = (3x + 5)(3x + 5) = (3x + 5)^2

5.) x^2 - 14x + 49 = x^2 - 7x - 7x + 49 = x(x - 7) - 7(x - 7) = (x - 7)(x - 7) = (x - 7)^2
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Three consecutive even integers can be represented by x, (x+2), and (x+4).

(x + (x + 2) + (x + 4)) - 10 = -22   Get rid of the parentheses
    x + x + 2 + x + 4 - 10 = -22   Combine like terms (x + x + x) and (2 + 4 - 10)
                               3x - 4 = -22   Add 4 to both sides
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x = -6
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x + 4 = -2

(-6 - 4 - 2) - 10 = 22
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