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cluponka [151]
3 years ago
13

Khan Academy

Mathematics
1 answer:
madam [21]3 years ago
3 0

Answer:

p(x) as a product of linear factors. p(x)=(x+3)(x-2)(x+6)

Step-by-step explanation:

(x+3) is the factor of polynomial p(x) = x^3 + 7x^2 - 36

So, we can divide p(x) = x^3 + 7x^2 - 36 by (x+3) to find other factors

The division is shown in figure attached.

The quotient is: x^2+4x-12

Now factoring the quotient to find linear factors

x^2+4x-12\\=x^2+6x-2x-12\\=x(x+6)-2(x+6)\\=(x-2)(x+6)

The factors are (x+3)(x-2)(x+6)

So, p(x) as a product of linear factors. p(x)=(x+3)(x-2)(x+6)

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Plz help me well mark brainliest if you are correct!..
koban [17]

Answer:

8

Step-by-step explanation:

all numbers must be positive when you have the lines on the side

8 0
2 years ago
Read 2 more answers
Select the correct answer.
Scilla [17]

Answer:

Approximately (2, 1)

See image

Step-by-step explanation:

Rearrange each equation so it is ready to be graphed on an x-y-axis (see image) look for the point where the two lines cross. This is the solution for the system of equations.

3 0
2 years ago
Use the principle of inclusion and exclusion to find the number of positive integers less than 1,000,000 that are not divisable
wel
This is a simple problem based on combinatorics which can be easily tackled by using inclusion-exclusion principle.
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.

∴N(c₁) = \frac{999,999}{6} = 166666
N(c₂) = \frac{999,999}{4} = 250000
∴N(c₁c₂) = \frac{999,999}{24} = 41667
∴ Number of positive integers that are not divisible by 4 or 6,

N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4
8 0
3 years ago
Simplify the expression 8x-2x+12x-3
aev [14]

Answer:

18x - 3

Step-by-step explanation:

Add all the X values

8x + -2x + 12x = 18x

Put the final numbers on the side.

-3

18x-3

7 0
2 years ago
What’s the product of (-3)(-1)
Vlad1618 [11]

Answer:

-4

Step-by-step explanation:

negative plus a negative means add

You add the number then keep the negative sign

6 0
2 years ago
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