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neonofarm [45]
3 years ago
15

Use the rational zero theorem to create a list of all possible rational zeros of the function f(x)=14x7-4x2+2

Mathematics
1 answer:
frosja888 [35]3 years ago
6 0

Answer:

Factor this polynomial:  

F(x)=x^3-x^2-4x+4

Try to find the rational roots. If p/q is a root (p and q having no factors in common), then p must divide 4 and q must divide 1 (the coefficient of x^3).  

The rational roots can thuis be +/1, +/2 and +/4. If you insert these values you find that the roots are at  

x = 1, x = 2 and x = -2. This means that  

x^3-x^2-4x+4 = A(x - 1)(x - 2)(x + 2)  

A = 1, as you can see from equation the coefficient of x^3 on both sides.  

Typo:  

The rational roots can be  

+/-1, +/-2 and +/-4

Step-by-step explanation:


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Step-by-step explanation:

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Order each set of measures from greatest to least 1) 1.2 cm, 0.6 in, 0.031 m, 0.1 ft 2) 2 lb, 891 g, 1 kg, 0.02 T 3) 1 1/4 c, 0.
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Step-by-step explanation:

1) 1.2 cm, 0.6 in, 0.031 m, 0.1 ft

The relationship between the units is given as;

m > ft > in > cm

Upon converting the rest units to the lowest;

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The order is given as;

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2) 2 lb, 891 g, 1 kg, 0.02 T

2 lb = 907.185 g

1 kg = 1000 g

0.02 T = 20000 g

The order is given as;

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3) 1 1/4 c, 0.4 L, 950 mL, 0.7 gal

0.4 L = 400 mL

0.7 gal = 2649.79 mL

11/4 c = 650.6177 mL

The order is given as;

0.7 gal > 11/4 c > 950ml > 0.4 L

4) 4.5 ft, 48 in., 1.3 m, 120 cm

The relationship between the units is given as;

m > ft > in > cm

Upon converting the rest units to the lowest;

4.5 ft = 137.16 cm

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The order is given as;

4.5 ft > 1.3 m > 48 in > 120 cm

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