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stich3 [128]
2 years ago
15

Which polynomial function has zeros at 2, −4, and 1?

Mathematics
2 answers:
Mumz [18]2 years ago
8 0

Answer:

y(x) = (x-2) (x-(-4)) (x-1)

And if we implify we got:

y(x) = (x-2)(x+4)(x-1)

And the correct option would be:

y = (x − 2)(x + 4)(x − 1)

Step-by-step explanation:

For this case we want a polynomial that satisfy the following zeros:

X= 2,-4,1

So then we need a polynomial of grade 3, and we can find the polynomial with this general formula:

y(x) = (x -a) (x-b) (x-c) ..... (x-k)

Where a,b,c,...,k represent the possible roots for the polynomial, if we replace we got:

y(x) = (x-2) (x-(-4)) (x-1)

And if we implify we got:

y(x) = (x-2)(x+4)(x-1)

And the correct option would be:

y = (x − 2)(x + 4)(x − 1)

LuckyWell [14K]2 years ago
6 0

Answer:

y = (x - 2)(x + 4)(x - 1)

Step-by-step explanation:

Given the zeros of a function say x = a and x = b, then

The factors are (x - a) and (x - b) and

y = (x - a)(x - b)

Given the zeros are x = 2, x = - 4, x = 1, then

the factors are (x - 2), (x - (- 4)) and (x - 1), that is

(x - 2), (x + 4), (x - 1) , thus

y = (x - 2)(x + 4)(x - 1)

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Which system of inequalities is represented by the graph?
Tamiku [17]
The blue line...
(1,2),(3,1)
slope = (1 - 2) / (3 - 1) = -1/2
there is a y int at (0,2.5) or (0,5/2)
it is shaded below the line....and it is a solid line
this inequality is :
y = -1/2x + 5/2
1/2x + y = 5/2
x + 2y = 5
x + 2y < = 5.....this is ur inequality


red line...
(0,4), (1,1)
slope = (1 - 4) / (1 - 0) = -3/1 = -3

there is a y int at (0,4)
it is shaded below the line...and it is a solid line
this inequality is :
y = -3x + 4
3x + y = 4
3x + y < = 4 ...this is ur inequality

summary :
ur 2 inequalities are : 
x + 2y < = 5 and 3x + y < = 4


4 0
3 years ago
The equation (2x^2 - 1)(3x+2) = (2x²)(3x) + (2x²)(2) + (-1)(3x)+(-1)(2) is an example
Nookie1986 [14]

The method used is Distributive Property.

<h3>What is Distributive property?</h3>

The Distributive Property is an algebraic property that is used to multiply a single value and two or more values within a set of parenthesis.

Given:

(2x² - 1)(3x+2) = (2x²)(3x) + (2x²)(2) + (-1)(3x)+(-1)(2)

Here the property used is Distributive property.

Because distributive property in this way

a*(b+c)= a*b+ a*c

This is how a is being multiplied by with b and c.

Learn more about this Distributive property here:

brainly.com/question/4136433

#SPJ1

8 0
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Suppose that $2000 is invested at a rate of 4%, compounded semiannually. Assuming that no withdrawals are made, find the total a
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Answer:

Step-by-step explanation:

A = P(1+r/n)^ nt

A = 2000(1+.04/2)^(5*2)

A = 2000(1.02)^{10} = $2437.99

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Use a calculator to find a value of θ between 0° and 90° that satisfies the statement. Write your answer in degrees and minutes
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Answer:

(9° 48' 17")

Step-by-step explanation:

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Given: are diameters m∠3 = <br> A) 39 <br> B) 78<br> C) 102
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I just did this a few seconds ago and the correct answer is 78. The check above the number is green which means its correct. 
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