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Monica [59]
2 years ago
5

What is the correct answer?

Mathematics
1 answer:
Licemer1 [7]2 years ago
3 0
The answer is on the picture below

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When x = a is a zero of a polynomial function f, the three statements below are true.
Lunna [17]

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).

4 0
2 years ago
344 thousands times 1/10
11111nata11111 [884]
344 thousands times 1/10=34,400
3 0
3 years ago
Who can answer this question
lyudmila [28]
The answer is: c
Explination 30-9=21
8 0
2 years ago
find the length of the long diagonal of a rhombus when it's area of 24 square centimeters and it's short diagonal is 4 centimete
Ivahew [28]

Answer:

12

Step-by-step explanation:

A rhombus is a parallelogram with all four sides equal.

Its diagonals are perpendicular.

Each of the triangles formed by the diagonals and the sides are congruent, so the area of the rhombus is 4 times the area of one of the triangles.

Since the short diagonal is given as 4, each of the triangles can be viewed as having a base of 2.  Each triangle's height, h, then is one half the length of the long diagonal.

The are of one of the triangles is 1/2 (base)(height)=(1/2)(2)h

The area of the rhombus is then

4(1/2)(2)h=24

Solving for h gives

h=6

This makes the length of the long diagonal 2h=12

6 0
3 years ago
Determine the slope of a line that is perpendicular to the line y = -2x + 7
xxTIMURxx [149]

Answer:

C)

Step-by-step explanation:

Perpendicular means negative reciprocal of the current slope.

And the negative reciprocal of -2 is 1/2.

5 0
3 years ago
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