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Ilya [14]
3 years ago
10

What are the zeros of the polynomial function f(x)=x^3-2x^2-8x?

Mathematics
1 answer:
Rashid [163]3 years ago
3 0

Answer: -2, 0, 4

Set the equation equal to zero.

x³ - 2x² - 8x = 0

Factor out x in the equation, since all the terms (x³, -2x², and -8x) are divisible by x. You can check your accuracy using the Distributive Property.

x(x² - 2x - 8) = 0

Factor out the polynomial. To do this, find two numbers that multiply to get the last term, -8, and add together to get the middle term, -2. In this case, those two numbers are -4 and 2 (-4 × 2 = -8 and -4 + 2 = -2). Don't forget about the x that was factored out before!

x(x - 4)(x + 2) = 0

Set each factor equal to zero and solve for x. The factors in the equation are x, (x - 4), and (x + 2).

  • x = 0
  • (x - 4) = 0

        x = 4

  • (x + 2) = 0  

        x = -2

The zeros of the polynomial function are -2, 0, and 4.

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The solutions to the inequality y > −3x + 2 are shaded on the graph. Which point is a solution? (0, 2) (2, 0) (1, −2) (−2, 1)
Brilliant_brown [7]

Answer:

(2,0)

Step-by-step explanation:

The solution of the inequality y>-3x+2 is shown in attached diagram.

The boundary line is dotted line, because the sign of inequality is without notion "or equal to". The dotted line means that points lying on this line are not solutions of the inequality. The solutions are those points lying in the shaded region.

From the points (0,2), (2,0), (1,-2), (-2,1) only point (2,0) lies on the shaded region, so only point (2,0) is a solution to the inequality

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2 years ago
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Arturiano [62]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Un submarino puede descender a una velocidad de –2,5 metros / segundo. Supongamos que el submarino comienza a una profundidad de
Mariulka [41]

17.5

Step-by-step explanation:

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3 years ago
Question 2
BabaBlast [244]

Answer:

The equation of the required line is y = x + 5

Step-by-step explanation:

The equation of the given line is y = x - 2

The required line = A line parallel to the given line

The point through which the required line passes = (-3, 2)

The general form of the equation of a straight line, is y = m·x + c

Where;

m = The slope of the line

By comparison, the slope of the given line, m = 1

When two lines are parallel, their slope are equal

Therefore, the slope of the required line = m = 1

The equation of the required line in point and slope form is therefore;

y - 2 = x - (-3) = x + 3

∴y = x + 3 + 2 = x + 5

The equation of the required line is therefore;

y = x + 5.

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2 years ago
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yKpoI14uk [10]

Answer:

here I think

Step-by-step explanation:

8y + 5 - 10y - 2 = (8y-10y)+(5-2)=-2y+3

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