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lozanna [386]
3 years ago
13

Use the grouping method to factor x^3 + x^2 + 5x + 5

Mathematics
2 answers:
makvit [3.9K]3 years ago
6 0
X^2(x+1)+5(x+1)

(x^2+5)(x+1)
the answer is a
Anuta_ua [19.1K]3 years ago
4 0

Answer:

(x + 1) (x^2 + 5)

Step-by-step explanation:

Simplify the following:

x^3 + x^2 + 5 x + 5

Factor terms by grouping. x^3 + x^2 + 5 x + 5 = (x^3 + x^2) + (5 x + 5) = x^2 (x + 1) + 5 (x + 1):

x^2 (x + 1) + 5 (x + 1)

Factor x + 1 from x^2 (x + 1) + 5 (x + 1):

Answer:  (x + 1) (x^2 + 5)

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MissTica

The graph of the inequality will be B. on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.

<h3>How to get the graph?</h3>

It can be deduced that the coordinates satisfy the equation of the line.

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Divide through by 3.

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2 years ago
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Kryger [21]

From the information given,

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If each small box can hold 6 books and each large box can hold 10 books, it means that the expression for the number of books that x small boxes and y large boxes can hold is

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If James can pack up to 110 books, it means that the number of books that he can pack is less than or equal to 110. The inequality representing this scenario is

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Dividing both sides of the equation by 10, we have

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The graph is shown below

The inequality that represents this sitaution is 6x + 10y ≤ 110

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1 year ago
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