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gregori [183]
3 years ago
10

Use complete sentences to explain how to use linear factors to determine the equation of a polynomial function

Mathematics
2 answers:
Leona [35]3 years ago
8 0

Answer: p(x) = a (x-b)(x-c)(x-d)

Step-by-step explanation:

The first step is to determine the degree of the polynomial.

It shall depend totally on the linear factors given for the polynomial.

If there is one, it is a linear polynomial.

If there are 2, then it is a quadratic polynomial.

If there are three then it shall be a cubic polynomial.

Now let us assume that there are three linear factors.

We multiply those factors and write the polynomial.

If x-b, x-c & x-d are the factors we write

p(x) = (x-b)(x-c)(x-d)

But as we may have a leading coefficient so we write the polynomial as

Then we go on to expand this to get the polynomial in the standard form.

d1i1m1o1n [39]3 years ago
7 0

Answer with Step-by-step explanation:

First we find the degree of polynomial.

Consider two linear factors

(x-a) and (x-b)

Multiplying these two factors to get the polynomial.

p(x)=(x-a)(x-b)=x^2-(a+b)x+ab

There are two linear factors .

Therefore, the degree of polynomial is 2 and the polynomial is quadratic.

Degree of polynomial=Number of linear factors

If the linear factors are three then the polynomial formed by multiplying theses factors .

Then, we get the polynomial of degree 3 and the polynomial is cubic polynomial.

It we have four linear factors.

After multiplying these four factors, we get a polynomial of degree 4.

The polynomial is bi quadratic.

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Can someone answer these questions please, i'm having trouble with them
fiasKO [112]

Answer:

1. $686.94

2. $735.03

3. $10707.55

4. $17631.94

5. $19635.72

Step-by-step explanation:

1st Question:

The interest rate is 7% for each year. This means that each year the person has to pay 7% more than the previous amount. So we need to multiply the initial amount by (0.07+1=1.07) in order to get the interest for the first year. if we want to find the second year's interests then we will have to multiply 2 (1.07)'s and so on.

in this case our function is: 600*(1.07)^t=P(t)

when t=2 P(2)=600*(1.07)^2=$686.94

2nd Question:

Function: 600*(1.07)^t=P(t)

when t=3 P(3)=600*(1.07)^3=$735.03

3rd Question:

initial value=$8500

1+0.08=1.08

Function: 8500*(1.08)^t=P(t)

t=3

P(3)=8500*(1.08)^3=$10707.55

4th Question:

initial value=$12000

1+1.08=1.08

t=5

Function: P(t)=12000*(1.08)^t

P(5)=12000*(1.08)^5=$17631.94

5th Question:

Function: 14000*(1.07)^t=P(t)

P(5)=14000*(1.07)^5

P(5)=$19635.72

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Novay_Z [31]

Answer: I think the Answer is 36 Let me know if i'm Right.

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Round 5,685 to the nearest 100
asambeis [7]
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6 0
3 years ago
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2. Which of the following methods can't be used to find the zeros of a function?
ser-zykov [4K]

Answer:

The correct option is;

Substitute x = 0 in the function  and solve for f(x)

Step-by-step explanation:

The zeros of a function are the values of x which produces the value of 0 when substituted in the function

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Answer:

20 is the answer

Step-by-step explanation:

10× 2× 1 = 20

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