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pochemuha
3 years ago
8

Three polynomials are factored below, but some coefficients and constants are missing. All of the missing values of a, b, c, and

d are integers.
1. x2 - 6x + 8 = (ax + b)(cx + d)

2.3x3 - 6x2 - 24x = 3x(ax + b)(cx + d)

3. 2x2 - 2x - 24 = (ax + b)(cx + d)
Fill in the table with the missing values of a, b, c, and d.
Mathematics
1 answer:
mariarad [96]3 years ago
3 0

9514 1404 393

Answer:

  1. (a, b, c, d) = (1, -4, 1, -2)
  2. (a, b, c, d) = (1, -4, 1, 2)
  3. (a, b, c, d) = (1, -4, 2, 6)

Step-by-step explanation:

Once you remove the common factor from the terms, you are looking for factors of the remaining constant term that have a sum equal to the coefficient of the linear term. These factors are the constants in the binomial factors.

__

1. 8 = (-4)(-2)   ⇒   x^2 -6x +8 = (x -4)(x -2)

  (a, b, c, d) = (1, -4, 1, -2)

__

2. -8 = (-4)(+2)   ⇒   3x^3 -6x^2 -24x = 3x(x -4)(x +2)

  (a, b, c, d) = (1, -4, 1, 2)

__

3. -12 = (-4)(3)   ⇒   2x^2 -2x -24 = 2(x -4)(x +3) = (x -4)(2x +6)

   (a, b, c, d) = (1, -4, 2, 6)  or  (2, -8, 1, 3)

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-a+28=14

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Step-by-step explanation:

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3 years ago
A bag had 7 orange rocks , 6 green rock , 1 white rock ,7 black rocks , and 2 yellow you randomly pull a rock from the bag ,keep
daser333 [38]

Answer:

Probability = \frac{7}{253}

Step-by-step explanation:

Given

Orange = 7

Green = 6

White = 1

Black = 7

Yellow = 2

Required

Probability of selecting a yellow then orange rock

From the question, we understand that the probability is that of without replacement.

Since the yellow, is first picked.

We need to determine the probability of picking a yellow rock, first.

P(Yellow) = \frac{n(Yellow)}{Total}

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P(Yellow) = \frac{2}{23}

The rock has reduced by 1;

Next is to determine the probability of picking an orange rock

P(Orange) = \frac{n(Orange)}{Total - 1}

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The required probability is calculated as thus:

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Answer:

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Step-by-step explanation:

The point-slope form of a line is given by:

y-y_1=m(x-x_1)

The line given to us has equation; y=-4x+8.

The slope of this line is -4. The of the line perpendicular to this line is the negative reciprocal of the slope of the given line.

Our slope of interest is therefore; m=\frac{1}{4}

Since the point goes through (-2,7), we have x_1=-2,y_1=7.

We plug in the slope and the point into the point-slope formula to obain;

y-7=\frac{1}{4}(x--2)

The required equation is:

y-7=\frac{1}{4}(x+2)

3 0
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