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katrin [286]
4 years ago
14

Rewrite this polynomial in terms of its simplest factors using the appropriate method: x3 + x2 − 6x.

Mathematics
2 answers:
Elden [556K]4 years ago
4 0

Answer:

x(x + 3)(x - 2)

Step-by-step explanation:

Factor out x from each term

= x(x² + x - 6)

To factor the quadratic

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x - term (+ 1)

The factors are + 3 and - 2, since

+ 3 × - 2 = - 6 and + 3 - 2 = + 1, hence

x² + x - 6 = (x + 3)(x - 2)

---------------------------------------

x³ + x² - 6x = x(x + 3)(x - 2) ← in factored form

Sophie [7]4 years ago
3 0

Answer: GCF = x

Step-by-step explanation:

x(x^3/x + x^2/x + -6x/x)

x(x^2 + -6)

x(x - 2)(x + 3)

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Sedbober [7]

Answer:

a) >
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Step-by-step explanation:

a) -3 is closer to 0 so it is larger
b) A positive number is always larger than a negative
c) A positive number is always larger than a negative
d) -234 is 1 larger than -235 which makes it larger

8 0
3 years ago
Read 2 more answers
Match the equivalent expressions 4(2x + 3) - 7x
lozanna [386]
The answer would be 8x+ 12 - 7x or 20x - 7x
3 0
3 years ago
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76.11 Multiply fractions and mixed numbers: word problems 5N)
maria [59]

Answer:

Kendra ate 1/4 pounds of blueberries.

Step-by-step explanation:

The amount of blueberries Sean had  =  1/3 pound

The amount of blueberries Kendra ate  = 3/4 of Total available

= 3/4 of (1/3 pounds)

Now, we need to find out the 3/4 amount of 1/3 pound.

3/4 of 1/3 pound  = \frac{3}{4}  \times \frac{1}{3}   = \frac{1}{4 }

⇒ 3/4 of the amount 1/3 pound  = 1/4 pound

Hence Kendra ate 1/4 pounds of blueberries.

8 0
4 years ago
Sophie can peel all the potatoes by herself in 45 minutes, while it would take Simon 30 minutes to do the job working alone. If
Degger [83]

Answer:

18 minutes

Step-by-step explanation:

Sophie can peel all potatoes in 45 minutes, in 1 minute she can peel:

  • 1/45 of all the potatoes

Simon can peel all potatoes in 30 minutes, in 1 minute he can peel:

  • 1/30 of all the potatoes

Together, in 1 minute they can peel:

  • 1/45+1/30= 2/90+3/90= 5/90= 1/18 of all the potatoes

To peel all the potatoes they need:

  • 1 ÷ 1/18= 1 × 18= 18 minutes

So it will take them 18 minutes to peel all the potatoes

7 0
3 years ago
Help please. this is really hard for me to understand.
bogdanovich [222]

Answer:

1. x = - 4, - 3

2. x = 9, - 1

3. x = - 1, 10

4. x = - 8, - 3

8 0
3 years ago
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