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Masteriza [31]
3 years ago
5

What are the rational roots of the polynomial f(x) = 20x^4 + x^3 +8x^2 + x-12

Mathematics
1 answer:
Natali5045456 [20]3 years ago
5 0

Answer:

x = 3/4 and x = -4/5

Step-by-step explanation:

20x⁴ + x³ + 8x² + x − 12

Group:

(20x⁴ + 8x² − 12) + (x³ + x)

Factor:

4 (5x⁴ + 2x² − 3) + x (x² + 1)

4 (5x² − 3) (x² + 1) + x (x² + 1)

(x² + 1) (4 (5x² − 3) + x)

(x² + 1) (20x² + x − 12)

(x² + 1) (4x − 3) (5x + 4)

So the rational roots are x = 3/4 and x = -4/5.

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Answer

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Find the distance between the points (1, 7) and (10, 1)<br> Please help:)
klio [65]

Answer:

<em>The distance between the points (1, 7) and (10, 1) is 10.82 units</em>

Step-by-step explanation:

<u>Distance between two points </u>

The distance between points A(x,y) B(w,z) can be calculated with the formula:

d=\sqrt{(z-y)^2+(w-x)^2}

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d=\sqrt{(1-7)^2+(10-1)^2}

d=\sqrt{(-6)^2+(9)^2}

d=\sqrt{36+81}=\sqrt{117}\approx 10.82

The distance between the points (1, 7) and (10, 1) is 10.82 units

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3 years ago
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Step-by-step explanation:

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