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Mrrafil [7]
3 years ago
9

UJUU J

Mathematics
1 answer:
Stels [109]3 years ago
3 0

Answer:

Plese read the complete procedure below:

Step-by-step explanation:

The polynomial is p(a) = (a^4 - 6a^3 + 3a^2 + 26a – 24)

a)

1   -6   3   26   -24    |<u>  1     </u>

<u>      1   -5   -2    24</u>

1   -5   -2   24    0

The remainder is zero, then (a-1) is a factor of the polynomial

b)

1   -6   3   26   -24    |<u>  2     </u>

<u>      2  -8   10    72</u>

1   -4   5   36    48

When p(a) is divided by (a-2) the remainder 28/p(a)

1   -6   3   26   -24    |<u> - 4     </u>

<u>    -4  40  172  -792</u>

1   -10  43  198  -816

When p(a) is divided by (a-2) the remainder -816/p(a)

c) I attached an image of the long division below:

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The point slope form of equation through given points is:

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Step-by-step explanation:

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Point-slope form is given by:

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y-y_1=\frac{1}{3}(x-x_1)

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y-6=\frac{1}{3}(x-1)

The point slope form of equation through given points is:

y-6=\frac{1}{3}(x-1)

Keywords: Point slope form

Learn more about point slope form at:

  • brainly.com/question/2150928
  • brainly.com/question/2154850

#LearnwithBrainly

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\bold{\text{Answer:\qquad }b)\quad \bigg(\dfrac{1}{2},-2\bigg)}

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The vertex form of an absolute value equation is: f(x)=|x-h|+k where

(h, k) is the vertex. In the given equation, f(x)=\bigg|x-\dfrac{1}{2}\bigg|-2, the h-value is 1/2 and the k-value is -2.

So, the vertex (h, k) = (1/2, -2)

8 0
3 years ago
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