1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
defon
2 years ago
9

Factor 2x2+25x+50. Rewrite the trinomial with the x-term expanded, using the two factors.

Mathematics
1 answer:
zlopas [31]2 years ago
6 0

9514 1404 393

Answer:

  • rewrite: 2x^2 +5x +20x +50
  • factored: (x +10)(2x +5)

Step-by-step explanation:

I find this approach the most straightforward of the various ways that trinomial factoring is explained or diagramed.

You want two factors of "ac" that have a total of "b". Here, that means you want factors of 2·50 = 100 that have a total of 25. It is helpful to know your times tables.

  100 = 1·100 = 2·50 = 4·25 = 5·20 = 10·10

The sums of these factor pairs are 101, 52, 29, 25, and 20. We want the pair with a sum of 25, so that's 5 and 20.

The trinomial can be rewritten using these factors as ...

  2x^2 +5x +20x +50

Then it can be factored by grouping consecutive pairs:

  (2x^2 +5x) +(20x +50) = x(2x +5) +10(2x +5) = (x +10)(2x +5)

_____

<em>Additional comment</em>

It doesn't matter which of the factors of the pair you write first. If our rewrite were ...

  2x^2 +20x +5x +50

Then the grouping and factoring would be (2x^2 +20x) +(5x +50)

  = 2x(x +10) +5(x +10) = (2x +5)(x +10) . . . . . same factoring

You might be interested in
Through:(4,0) slope =1/2
abruzzese [7]

Answer: M = - 2/3

Step-by-step explanation:

Not sure this should be the answer tho

4 0
2 years ago
Read 2 more answers
I will pay to find the answer
fenix001 [56]

Step-by-step explanation:

9) C

10) B

11) (b-5)(b+8)

12) (7w - 2)²

13) 14(5x + 2)(3x - 1)

14) (4h - 1) and (h + 6)

15) 3 and (a - 2) and (a + 8)

16) 5 and (4w - 1) and (w + 2)

5 0
2 years ago
Da<br> A<br> Solve the equation 2x^2+3=0
Anika [276]

Answer:

x = ±i(√6 / 2)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

  • Solving quadratics

<u>Algebra II</u>

Imaginary root i

  • √-1 = i

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

2x² + 3 = 0

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Subtraction Property of Equality] Subtract 3 on both sides:                        2x² = -3
  2. [Division Property of Equality] Divide 2 on both sides:                                  x² = -3/2
  3. [Equality Property] Square root both sides:                                                    x = ±√(-3/2)
  4. Simplify:                                                                                                             x = ±i(√6 / 2)
4 0
3 years ago
Which expression represents the product of 6 and y? 6y 6 y 6 − y 6 over y
prohojiy [21]
Just a 6y would do. :)))
5 0
3 years ago
Read 2 more answers
What's the equation of the line shown above?
Ira Lisetskai [31]
Your answer is D here.
5 0
3 years ago
Other questions:
  • John has yellow, green, and red cubes, each with side length c. Eight yellow cubes are glued together to make a larger cube. An
    8·1 answer
  • To place and as in a newspaper, it cost $8 plus $0.75 for each line. Write and evaluate an expression to find the total cost for
    5·1 answer
  • Can you help me withi this Question I’ll give you a brain list
    12·1 answer
  • Compare 13 and – 8).
    11·1 answer
  • What is the cube root of -1,OOOp^12q^3
    14·2 answers
  • Hiram Callaway deposits $2,350 in an account that earns interest at 3.2% APR compounded monthly. What is his ending balance afte
    7·1 answer
  • Simplify the expression.<br> –8(c – b)<br> A) b – 8c<br> B) –8c + 8b<br> C) c – 8b<br> D) 8c – 8b
    8·1 answer
  • Work out the sum of 1/6 , 4/5 and 2/3 Give your answer as a mixed number in its simplest form.
    10·1 answer
  • Sara got 37 out of 50 questions right, and Tony got 29 out 40, who did better, Tony or Sara?​
    10·2 answers
  • OnIy girIs +18 can h0in here for $£X<br> dbp-efnh-cec​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!