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postnew [5]
3 years ago
9

What is a quartic polynomial function in standard form with zeros -2,4,4,and 3

Mathematics
1 answer:
Travka [436]3 years ago
6 0

We can simply multiply the roots together to find the original function.

(x + 2)(x - 4)(x - 4)(x - 3)

FOIL.

x^2 - 4x + 2x - 8(x - 4)(x - 3)

Combine like terms.

x^2 - 2x - 8(x - 4)(x - 3)

FOIL.

x^3 - 2x^2 - 8x - 4x^2 + 8x + 32(x - 3)

Combine like terms.

x^3 - 6x^2 + 32(x - 3)

FOIL.

x^4 - 6x^3 + 32x - 3x^3 + 18x^2 - 96

Combine like terms.

<h3>x^4 - 9x^3 + 18x^2 + 32x - 96 is the original function with the given roots.</h3>
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Which shape has 5 faces, 8 edges and 5 vertices? A. triangular pyramid B. rectangular pyramid C. rectangular prism D. triangular
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I need help with #66 and #68
NeX [460]

Step-by-step explanation:

66. Δy = -3.4 Δx

Δy/Δx = -3.4

The slope of the line is -3.4. Slope-intercept equation of the line is:

y = -3.4x + b

Plug in the given point to find b:

2 = -3.4(4) + b

b = 15.6

Therefore, the equation is y = -3.4x + 15.6.

Use the equation to find the y coordinates.

\left[\begin{array}{cc}x&y\\-4&29.2\\4&2\\6&-4.8\\18&-45.6\end{array}\right]

68. Repeat the same steps as 66.

Δy = -1.7 Δx

Δy/Δx = -1.7

The slope of the line is -1.7. Slope-intercept equation of the line is:

y = -1.7x + b

Plug in the given point to find b:

3 = -1.7(-7) + b

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Therefore, the equation is y = -1.7x − 8.9.

Use the equation to find the x or y coordinates.

\left[\begin{array}{cc}x&y\\-19&23.4\\-7&3\\-2.412&-4.8\\3.2&-14.34\\9.1&-24.37\end{array}\right]

4 0
3 years ago
Can someone help me with these problems?
Ksivusya [100]

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no se pregúntale a otro gracias

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3 years ago
-3x-ly = -16<br> 2x +1y = 11
Aleksandr [31]

Answer: (-2/15, -53/5)

Step-by-step explanation:

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3 years ago
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