What is (-x+2)^3(3x+1)^4(x-sqrt(2))(x+3)^8>0 ?

The solution to (-x+2)^3(3x+1)^4(x-sqrt(2))(x+3)^8>0 is sqrt(2)<x<2

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(-x+2)^3(3x+1)^4(x-sqrt(2))(x+3)^8>0

(- x + 2)^{3} (3 x + 1)^{4} (x - 2) (x + 3)^{8} > 0

2 < x < 2

Interval Notation

(2, 2)

Decimal Notation

1.41421 \dots < x < 2

Solution steps

(- x + 2)^{3} (3 x + 1)^{4} (x - 2) (x + 3)^{8} > 0

Identify the intervals

2 < x < 2

6 w = - 12

x^{2} + 9 x + 8

33 (- \frac{1}{2 ( 100 ) ^{2}} + \frac{1}{2})

81 r^{2} + 180 r + 100 = 0

6 a^{2} - 13 a + 6

What is (-x+2)^3(3x+1)^4(x-sqrt(2))(x+3)^8>0 ?
The solution to (-x+2)^3(3x+1)^4(x-sqrt(2))(x+3)^8>0 is sqrt(2)<x<2