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iragen [17]
3 years ago
9

Use the grouping method to factor the polynomial below completely. x^3 + 2x^2 + 5x + 10

Mathematics
1 answer:
Neko [114]3 years ago
5 0

Answer:

The factors of x^3+2x^2+5x+10 are (x^2+5)(x+2)

Step-by-step explanation:

x^3+2x^2+5x+10

Group the expression by two:

=(x^3+2x^2)+(5x+10)

Factor out GCF in each group.

=x^2(x+2)+5(x+2)

Note:(The binomials in parentheses should be the same, if not the same... there is an error in the factoring or the expression can not be factored.)

Now factoring out the GCF which basically has you rewrite what is in parentheses and place other terms left together:

=(x^2+5)(x+2)

Thus the factors of x^3+2x^2+5x+10 are (x^2+5)(x+2)....

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7x-y=-10 (linear combination)<br> -7x+5y=-6
andreyandreev [35.5K]

(-2,-4) is the correct answer.

Hope this helps:)

5 0
3 years ago
The MTC Theater holds 250 people, and last night’s performance sold out!  Students paid $3.00 per ticket, while adults paid $5.0
Lilit [14]

9514 1404 393

Answer:

  • s + a = 250
  • 3s + 5a = 1050

Step-by-step explanation:

Let s and a represent the numbers of student and adult tickets sold. The system of equations that can be written from the given information is ...

  s + a = 250 . . . . . . total of tickets sold

  3s +5a = 1050 . . . dollar value of tickets sold

_____

The solution is (s, a) = (100, 150). 100 student tickets and 150 adult tickets were sold.

3 0
3 years ago
Factorise the following algebraic expressions completely a. y4 −81 . x2 +10x +24
Ludmilka [50]

y^4-81=(y^2-9)(y^2+9)=(y-3)(y+3)(y^2+9)\\\\&#10;x^2 +10x +24 =x^2+10x+25-1=(x+5)^2-1=(x+5-1)(x+5+1)=(x+4)(x+6)

3 0
3 years ago
Full‐me Ph.D. students receive an average of $12,837 per year. If the
Pavlova-9 [17]

Answer:

.0022

Step-by-step explanation:

6 0
1 year ago
Suppose f(x) = x2 and g(x) = (3x)2. Which statement best compares the graph
Ksenya-84 [330]

Answer:

Step-by-step explanation:

Please use " ^ " to indicate exponentiation:  f(x) = x^2 and g(x) = (3x)^2.

g(x) can be rewritten as 9x^2.

The graph of g(x) is only one ninth as wide as that of f(x).

Next time please share the possible answer choices.  Thank you.

6 0
3 years ago
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