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ddd [48]
3 years ago
14

Factor x^3-4x^2-3x+18=0 given that 3 is a zero.

Mathematics
1 answer:
Mandarinka [93]3 years ago
3 0

Answer:

B: (x + 2)(x - 3)^2

Step-by-step explanation:

This is only going to have 3 roots. One of them is (x - 3)

D does not look right. So let's solve it using synthetic division.

3 || 1    - 4      -3       18

            3       -3      -18

========================

     1     -1       -6        0


So what you have is a quadratic

  • x^2 - x - 6 = 0 which will factor
  • (x - 3)(x + 2) = 0
  • x - 3  = 0
  • x = 3
  • x + 2 =0
  • x = - 2
  • (x - 3)(x - 3)(x + 2 ) = 0

The answer is B

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3 years ago
For all the values of x, f(x) = 2x(squared) g(x) = x+1 solve fg(x)=gf(x)
bulgar [2K]

Answer:

Value of x for fg(x)=gf(x) at <em>f(x) = 2x²</em> and <em>g(x) = x+1</em> is x = -1/4 .

Step-by-step explanation:

We have, f(x) = 2x² and g(x) = x+1

Now, f(g(x)) = g(f(x))

⇒ <em>2(x+1)² = 2x² + 1</em>

<em>⇒ 2( x² + 2x + 1 ) = 2x² + 1</em>

<em>⇒ 2x² + 4x + 2 = 2x² + 1</em>

<em>⇒ 4x = -1</em>

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4 years ago
After a special medicine is introduced into a petri dish containing a bacterial culture, the number of bacteria
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Answer:

Step-by-step explanation:

6 0
4 years ago
779.7 to the nearest whole number
LiRa [457]

Answer:

780

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
What is the area of a regular hexagon with a perimeter of 12cm and a apothem of √3cm
aliina [53]
The area formula applies.
  A = (1/2)Pa
where P is the perimeter and "a" is the apothem.
  A = (1/2)*(12 cm)*(√3 cm)

The area is
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8 0
3 years ago
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