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Elena L [17]
3 years ago
5

The expression x^4-16 is equivalent to the product of (x+2) and p(x) which expression could represent p(x)

Mathematics
1 answer:
bagirrra123 [75]3 years ago
3 0
Easy
differnce of 2 perfect squares
a²-b²=(a+b)(a-b)

in this case
x⁴=(x²)²
16=4²

(x²)²-4²=(x²+4)(x²-4)
x²-4 can be factored since 4=2²
x²-2²=(x+2)(x-2)

complete factored form is
(x²+4)(x+2)(x-2)
gegroup to seperate (x+2)
(x+2)[(x²+4)(x-2)]
(x+2)p(x)

p(x)=(x²+4)(x-2)
expanded
p(x)=x³-2x²+4x-8
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Nine times the sum of a number and 4 is 2
Anna11 [10]

Answer(s):

If you are asking for the equation, it's 9(x+4)=2

However, if you're asking for the value of x as well, it's -34/9

Step by Step:

1) First we must find the equation. In your question, the unknown number is x. Therefore we can know that "the sum of a number and 4" is (x+4). Since we are multiplying this sum by 9, we can put the 9 in front of this expression to multiply it--getting 9(x+4). And since we know it "is 2" we can say that 9(x+4)=2.

2) Now, we have to solve the equation, 9(x+4) = 2

3) We can start by distributing, 9x+36 = 2

4) Now let's move 36 to the right by subtracting from both sides, 9x = -34

5) To isolate x, let's divide both sides by 9, x = -34/9

6) Our fraction answer can't be simplified, so we get x = -34/9

7 0
3 years ago
Simplify 2/7 ? I neeed help will give Brainlyest
Fudgin [204]

Answer:

2/7 is already in the simplest form. It can be written as 0.285714 in decimal form (rounded to 6 decimal places).

7 0
3 years ago
Jessie runs 8 yards every 2 seconds. How many feet does Jessie run in 10 seconds?
serg [7]

Answer:

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Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
What would be a equation for (5,2) and (0,7)?
Genrish500 [490]

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6 0
3 years ago
The fence along the length of a ranch measures 4,450.5 meters and the fence along the width of a ranch measures 2,890 meters.
lawyer [7]
Given:Length = 4,450.5 metersWidth = 2,890 meters
1 kilometer = 1,000 meters
Length: 4,450.5 meters * 1km/1,000 meters = 4,450.5 km/1,000 = 4.4505km
Width: 2,890 meters * 1km/1,000 meters = 2,890 km/1,000 = 2.89 km
4.4505 km - 2.89 km = 1.5605 km
The length of the fence is 1.5605 km longer than the width of the fence.

3 0
3 years ago
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