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elixir [45]
2 years ago
6

A. Factor the polynomial: x^5-4x^3+8x^2-32 b. Solve by factoring: 2x^2-3x+1=0

Mathematics
1 answer:
lawyer [7]2 years ago
7 0

Answer:

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

b. x=1 and x=1/2

Step-by-step explanation:

a. (x^3+8)(x^2-4) = x^5-4x^3+8x^2-32 [foil method: first,outside,inside,last]

b. use quadratic formula: -b +/- square root b^2-4ac / 2a

2=a; -3=b; 1=c

-(-3) + square root (-3)^2 - 4(2)(1) / 2(2)

3 + 1 / 4 = 4/4 = 1

3 - 1/4 = 2/4 = 1/2

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2 years ago
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Answer:

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Step-by-step explanation:

Hello!

Slope - Intercept Form: y = mx+b

  • m = slope
  • b = y-intercept

<h3>Slope</h3>

The slope of the line is the rate of change, or how the graph changes in y as it changes in x.

Slope can be calculated by the formula: m = \frac{y_2 - y_1}{x_2 - x_1}

We need two points on the line to get the x and y-values. I'm going to choose points (0,5) and (4,-3).

Calculate Slope

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  • m = \frac{5 - (-3)}{0 - 4}
  • m = -\frac{8}{4}
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The slope is -2.

<h3>Y-intercept</h3>

The y-intercept of the line is where the graph touches the y-axis (x = 0). It can be found by looking at the intersection of the graph and the axis.

The intersection happens at point (0,5), so the y-intercept is 5.

<h3>Equation</h3>

We found m, the slope, to be -2 and b, the y-intercept, to be 5. We can just plug it into the equation format.

Equation: y = -2x + 5

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