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2 years ago

FRACTIONAL INDICIES HELP IS APPRECIATED A LOT

Mathematics

1 answer:

Zepler [3.9K]2 years ago

4 0

Answer:

1. 625/3

2. 5/8

3. 4/9

4. 1/3

5. 2

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Change 108% to a mixed number and reduce, if possible.

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What is the surface area of a rectangular prism that has these dimensions? 2 cm x 3 cm x 5 cm?

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Construct a right angled triangle XYZ with 90 at angle Y, YZ=7.5cm and XY =6cm

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1 draw a line of 7.5 cm YZ by scale

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Suppose a cylinder has a diameter of 18 feet and a height of h feet. Which equation can be used to find V, the volume of the cyl

IrinaVladis [17]

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$V=\pi (9)^2h$

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write a polynomial function of least degree with integral coefficients that has the given zeros. -(1/3), -i

inessss [21]

Answer:

$f(x)=3x^3+x^2+3x+1$

Step-by-step explanation:

If a real number $-\frac{1}{3}$ is a zero of polynomial function, then

$x-\left(-\dfrac{1}{3}\right)=x+\dfrac{1}{3}$

is the factor of this function.

If a complex number $-i$ is a xero of the polynomial function, then the complex number $i$ is also a zero of this function and

$x-(-i)=x+i\ \text{ and }\ x-i$

are two factors of this function.

So, the function of least degree is

$f(x)=\left(x+\dfrac{1}{3}\right)(x+i)(x-i)=\left(x+\dfrac{1}{3}\right)(x^2-i^2)=\\ \\ =\left(x+\dfrac{1}{3}\right)(x^2+1)=\dfrac{1}{3}(3x+1)(x^2+1)=\dfrac{1}{3}(3x^3+x^2+3x+1)$

If the polynomial function must be with integer coefficients, then it has a form

$f(x)=3x^3+x^2+3x+1$

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3 years ago