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alisha [4.7K]
3 years ago
15

Factor the polynomial as a product of linear factors with complex coefficients.

Mathematics
2 answers:
lys-0071 [83]3 years ago
8 0

15386553sssssssssssssssssssssssssssssssssssssssss

shepuryov [24]3 years ago
3 0

Answer:

The function

f(x) = x3 + 2x2 − x − 2

is a trinomial and it is expected that it has three factors corresponding to the three roots. The possible roots could 1, -1, 2, or -2. Trying out 1

f(1) = 1 + 2 - 1 - 2 = 0

According to the remainder theorem (x - 1) is a factor. By doing synthetic division

1 | 1 2 -1 -2

      1  3  2

    1  3 2  0

f(x) = (x - 1)(x2 + 3x + 2)

which can further be factored into

f(x) = (x -1)(x +1)(x + 2)

The three factors are

x-1

x+1

x+2

which are all linear expressions

Step-by-step explanation:

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Identity the composite number represented by the prime factorization below
Korolek [52]

Answer:look below

Step-by-step explanation: The prime factorization of number is the break down into factors which are prime numbers (numbers without factors except 1 and itself). The factors 22 and 32 are composite numbers since they have more than 1 and itself as factors. They are not prime.

However, the factorization of 22 * 32 * 5 will equal a number. 22*32*5 = 3, 520. But it does not match the solutions given.

3 0
3 years ago
Read 2 more answers
For what values of x does 25 Superscript x Baseline = 5 Superscript x squared minus 3?
umka2103 [35]

For this case we have the following equation:

25^{x} = 5^{ x^2-3}

Rewriting we have:

5^{2 (x)} = 5^{ x^ 2-3}\\5^{ 2x} = 5^{ x^ 2-3}

For expressions to be equal, exponents must be equal. So:

2x = x ^ 2-3\\x ^ 2-2x-3 = 0

To factor, we look for two numbers that, when multiplied, result in -3 and when added, result in -2. These numbers are -3 and 1.

(x-3) (x + 1) = 0

Thus, the roots are:

x_ {1} = 3\\x_ {2} = - 1

Answer:

x_ {1} = 3\\x_ {2} = - 1

8 0
3 years ago
Saul has 8 bags. He records the weight of each bag on the line plot.
Naddika [18.5K]

Answer:

24

Step-by-step explanation:

just MultiplMultiply 8 times 3 and 24

8 0
2 years ago
Find the solution <br> -1.2x-8.2&gt;-9.7
andriy [413]
The solution to the equation is x < 1.25
3 0
3 years ago
If , find the value of 2 square root of 17-x = 2x-10, find the value of x/4.
ira [324]
2 \sqrt{17-x} =2x-10\ \ \ \ \Rightarrow\ \ \ D:(17-x \geq 0\ \ \ and\ \ \ 2x-10 \geq 0)\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x \leq 17\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  \ \ x \geq 5\\\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ D=\\\\2 \sqrt{17-x} =2(x-5)\ /:2\\\\ \sqrt{17-x} =x-5\ \ \ \Rightarrow\ \ \ (\sqrt{17-x})^2 =(x-5)^2\\\\17-x=x^2-10x+25\\\\

x^2-9x+18=0\\\\ x^2-3x-6x+18=0\\\\x(x-3)-6(x-3)=0\\\\(x-3)(x-6)=0\ \ \ \ \Leftrightarrow\ \ \ (x-3=0\ \ \ \ or\ \ \ \ x-6=0)\\\\x=3\ \notin\ D\ \ \ \ \ \ \ \ \ \ \ x=6\ \in\ D\ \ \ \Rightarrow\ \ \  \frac{x}{4} = \frac{6}{4} =1.5\\\\Ans.\  \frac{x}{4} =1.5
7 0
3 years ago
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