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
julia-pushkina [17]
2 years ago
12

Factor the trinomial: 5x^2+41x+42

Mathematics
2 answers:
bogdanovich [222]2 years ago
6 0

Answer:

(5x+6)(x+7)

Step-by-step explanation:

Factor the expression by grouping. Expression needs to be rewritten as 5x  

2 +ax+bx+42.

To find a and b

a+b=41

ab=5×42=210

Since ab is positive, a and b have the same sign.  List all such integer pairs that give product 210.

1,210

2,105

3,70

5,42

6,35

7,30

10,21

14,15

Calculate the sum for each pair.

1+210=211

2+105=107

3+70=73

5+42=47

6+35=41

7+30=37

10+21=31

14+15=29

The solution is the pair that gives sum 41.

a=6

b=35

Rewrite 5x  

2 +41x+42 as (5x^2 +6x)+(35x+42).

Factor out x in the first and 7 in the second group.

x(5x+6)+7(5x+6)

Factor out common term 5x+6 by using distributive property.

(5x+6)(x+7)

babunello [35]2 years ago
5 0

Answer:

(5x + 6) (x + 7)

Step By Step Explanation:

Use the sum form to the product.

5

You might be interested in
A video game console that is normally priced at 269.99 has been marked down by 33% of its original price. If the sales tax is 8.
larisa86 [58]

Answer:

$5.99

Step-by-step explanation:

I am Majoring in math and Personal Finance

7 0
3 years ago
Imagine you have a job working at a pizza shop, and you make $400 in one week, but $100 Is withheld from your
uysha [10]
You would make 1200 because of taxes. That all I know sorry
5 0
3 years ago
Got up on my birkin it's working she said __________ is working
Bess [88]
She a virgin!!!

Best song bro
7 0
3 years ago
HElp ill give 10 points!!!!!!!!!!!!!
Evgesh-ka [11]

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZAnswer:

Step-by-step explanation:

4 0
3 years ago
10.<br> JKLM is a rhombus KLN is a triangle. Find MKN.
rjkz [21]

Answer:

65°

Step-by-step explanation:

JM = JK (all sides of a rhombus are equal)

Angle JKM = 25° (isosceles triangle)

Angle JKL = 50° (consecutive angles of rhombus)

Angle MKL = 25° (angle subtraction)

Angle MLK = 130° (opposite angles of a rhombus)

Angle KLN = 50° (angles on a straight line)

Angle LKN = 40° (angle sum of triangle)

Angle MKN = 65° (angle addition)

7 0
1 year ago
Other questions:
  • Find if f(x) = 3x and g(x) = x + 1.
    8·1 answer
  • A number n is no less than -3
    7·1 answer
  • The amount of turn between two straight lines that have a common end point is called __________.
    11·1 answer
  • Which of the following is the best description of the graph below?
    10·1 answer
  • Find the inverse function of<br> y =x-5/6
    15·2 answers
  • Please help me and the top is C <br> What angle is this?
    10·1 answer
  • Convert 7200 seconds into weeks. Round your answer to the nearest hundredth.
    10·1 answer
  • A client has requested to have a stamped concrete patio put in their backyard. The plan indicates that the patio will be 16 feet
    11·2 answers
  • BRAINLIEST IF RIGHT<br> 16 - 2t = 5t + 9
    9·2 answers
  • One gallon of gasoline costs $2.75.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!