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neonofarm [45]
2 years ago
6

When x = a is a zero of a polynomial function f, the three statements below are true.

Mathematics
1 answer:
Lunna [17]2 years ago
4 0

Answer:

x = a is a zero of a polinomial f(x), this is the same than: f(x) has a root at x = a

Then: f(a) = 0.

a) x = a is a ____ of the polynomial equation f(x) = 0.

If we define f(x) = 0, then x = a is a solution of the equation.

Then the complete sentence is:

x = a is a solution of the polynomial equation f(x) = 0.

b) ____ is a factor of the polynomial f(x).

Remember that if a polynomial p(x) of degree n has the roots x₁, x₂, ..., xₙ

Then we can write p(x) in the factorized form as:

p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

Where A is a real number.

Then if in this case we know that a is a root of f(x), then (x - a) is a factor of the polynomial f(x), then the complete sentence is:

(x - a) is a factor of the polynomial f(x).

c) (a, 0) is a ____ of the graph f(x)

We usually use the notation y = f(x).

Then the points of the form (x, f(x)) are the points that belong to the graph of f(x).

In this case, the point (a, f(a)) = (a, 0)

This point belongs to the graph of f(x), then the complete sentence can be written as:

(a, 0) is a point of the graph f(x).

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50 POINTS!!!
san4es73 [151]

Step-by-step explanation:

<u>Step 1:  Determine an ordered pair</u>

A solution of an equation just means that the point lies on the line.  We can find any y-value when we plug in a specific x-value.  For example, if we want to know what ordered pair lies at x=1, we just plug in y = -1/2(1) and solve for y which gives us -1/2.  This gives us an ordered pair of (1, -1/2).  We can continue to do this for any x value.

We can also reverse the order and plug in the y-value and get the x-value in order to accomplish the same goal but it's a bit harder.

Hope this helps!

6 0
1 year ago
Read 2 more answers
You make 12 equal payments your total is 1308 how much is each payment
Dovator [93]

Answer:

109 is the correct answer

7 0
2 years ago
What's 5,250 divided by 6
ANTONII [103]
875

Use a calculator lol
5 0
3 years ago
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How many solutions does the following equation have?<br> -17(y-2)=-17y+64−17(y−2)=−17y+64
DaniilM [7]

Answer:

Step-by-step explanation:

-17(y - 2) = -17y + 64

-17y  + 34 = -17y + 64

-17y + 17y = 64 - 34

0 = 30 (incorrect)

this system has NO SOLUTIONS

3 0
3 years ago
Read 2 more answers
Round off 0.043 to one significant figure
aniked [119]
Hey there :)

0.043
The first 0 before the decimal point is not significant since it is used for cosmetic purpose
The 0 after the decimal is not significant as the 0 is used to locate the decimal point
The 4 is the first nonzero integer and it counts as a significant figure

Therefore, 0.04 will be your answer rounded to 1 s.f
4 0
3 years ago
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