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Shkiper50 [21]
3 years ago
6

3. Which of the following is a polynomial with roots 4,6, and - 7

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0

Answer: P(x)=  x³ - 3 x² - 46 x +168

Step-by-step explanation:

(4,6, -7)

hence the polynomial will be equal to

P(x) = (x-4) (x-6) (x+7)

P(x) = (x-4) (x²+7 x -6 x -42)

P(x) = (x-4) (x²+x -42)

P(x) = x³ + x²-42 x -4 x² -4 x +168

P(x) =  x³ - 3 x² - 46 x +168

hence, the required polynomial is P(x) =  x³ - 3 x² - 46 x +168

<h2>Have a awesome day✨</h2>

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Why is the equation y-y1=m(x-x1) called the point-slope form?
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Answer:

The equation of the line with slope m = 2 and passing through the point (1, 1) will be:

y = 2x

Step-by-step explanation:

We know that the point-slope form of the line equation is

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

The formula y-y_1=m\left(x-x_1\right) is termed as the point-slope form of the line equation because if we know one point on a certain line and the slope of that line, then we can easily get the line equation with this formula and, hence, determine all other points on the line.

For example, if we are given the point (1, 1) and slope m = 2

Then substituting the values m = 2 and the point (1, 2)

y-y_1=m\left(x-x_1\right)

y - 2 = 2(x-1)

y - 2 = 2x-2

y = 2x-2+2

y = 2x

Therefore, the equation of the line with slope m = 2 and passing through the point (1, 1) will be:

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3 years ago
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Step-by-step explanation:

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Answer:

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(I checked on desmos and this is correct)

Step-by-step explanation:

I'm going to solve this by substitution

To do this we need to get a variable by istelf in any equation

We'll start with 18x-2y=10

We can add 2y and divide by 2 to get

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This is what y will equal for now and we can plug this in for y in the second equation

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This is rather easy to solve

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