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Lena [83]
3 years ago
12

Which is a factor of 6x2y + 8x2 − 30y − 40?

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
7 0
<span>6x^2y + 8x^2 − 30y − 40
= 2x^2(3y + 4) - 10(3y + 4)
= (2x^2 - 10)(3y + 4)
= 2(x^2 - 5)(3y + 4)</span>
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Solve the equation X³+2X²-5X -6​
Natali [406]

Answer: x = {-1, -3, 2}

<u>Step-by-step explanation:</u>

x³ + 2x² - 5x - 6 = 0

Use the rational root theorem to find the possible roots:  ±1, ±2, ±3, ±6

Use Long division, Synthetic division, or plug them into the equation to see which root(s) work <em>(result in a remainder of zero)</em>.

I will use Synthetic division.  Let's try x = 1

1 |  1    2    -5     -6

  |<u>  ↓    1      3     -2 </u>      

     1     3    -2    -8   ← remainder ≠ 0 so x = 1 is NOT a root

 Let's try x = -1

- 1 |  1     2    -5    -6

   |<u>  ↓    -1     -1     6 </u>      

      1     1     -6     0   ← remainder = 0 so x = -1 is a root!

The coefficients of the reduced polynomial are: 1, 1, -6  -->   x² + x - 6

Factor: x² + x - 6

          (x + 3)(x - 2)

Set those factors equal to zero to solve for x:

x + 3 = 0   --> x = -3

x - 2 = 0    --> x = 2

Using Synthetic Division and Factoring the reduced polynomial, we found

x = -1, -3, and 2

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2 years ago
Brainliest if correct.
Bingel [31]
Your answer is 94/15

if mixed, it’s 6 4/15
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2 years ago
If the instructions for a problem ask you to use the smallest possible domain to completely graph two periods of y = 5 + 3 cos 2
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The period of a sinusoid \cos 2(x-c) is \dfrac{2\pi}2=\pi, so any range such that \mathrm{Xmax}-\mathrm{Xmin}=2\pi will give two complete periods.
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Step-by-step explanation:

30÷6 =5 or 30÷5 =6 good luck!

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Can someone help....
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Answer:

-16

Step-by-step explanation:

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