3 years ago

Enter the y-intercept of the function

Mathematics

1 answer:

Advocard [28]3 years ago

8 0

The y intercept is (0 , 9)

when x is zero, the number in the y value is the y-intercept

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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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4 years ago

The head librarian at a public library releases a report. The report states that visitors to the library want the library to ope

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1.The sample is biased because it does not represent the population.

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3 years ago

What is 4/4 reduced to lowest form

musickatia [10]

4/4=1

4÷4=1
4÷4=1

1/1= 1

hope this helps :)

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-4(x+3)^2+10 convert it to standard from

Alenkasestr [34]

-4x+154 should be the answer

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