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nalin [4]
3 years ago
14

Let P be a polynomial where P(x) = (x+6)(x+3)(x-5)

Mathematics
1 answer:
mixas84 [53]3 years ago
5 0

Answer:

  1.  P(x) = x^3 +4x^2 -27x -90

  2.  degree: 3; constant: -90

Step-by-step explanation:

1. You can multiply the factors 2 at a time using the distributive property.

  P(x) = (x +6)(x(x -5) +3(x -5)) = (x +6)(x^2 -5x +3x -15)

  = (x +6)(x^2 -2x -15) = x(x^2 -2x -15) +6(x^2 -2x -15)

  = x^3 -2x^2 -15x +6x^2 -12x -90

  P(x) = x^3 +4x^2 -27x -90

__

2. The degree is 3, the highest power. The constant term is the one without any variables: -90.

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6 0
4 years ago
Which value of x makes the open sentence true? <br> 5x – 6 = x + 12
neonofarm [45]
The way we approach a problem like this is by using a technique called "collecting like terms".
This means that we want to put all of the values with an "x" on one side and all of the normal numbers on the other. For this particular problem we can do this as follows:
5x - 6 = x + 12
Now move the (- 6) to the right side of the equation by adding 6 to both sides:
=> 5x = x + 12 + 6
Now move the (x) to the left side of the equation by subtracting (x) from both sides:
=> 5x - x = 12 + 6
Now perform the simple arithmetic on both sides:
=> 4x = 18
Now remove the 4 from in front of the (x) by multiplying the whole equation by (1/4)
=> x = 18/4
Therefore to make your open sentence true, x must equal 18/4, or to simplify, 9/2, or as a decimal, 4.5. I hope this helped, and remember to try and understand not just the answer, but the maths involved in getting to the answer too :))
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3 years ago
mary is sending her sister as summer camp a square box filled with tiny candies the side of the box measures 6in how much candy
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The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Learn more about probability here

brainly.com/question/24756209

#SPJ4

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