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
Tema [17]
3 years ago
9

Factor Completely. 12k^2-16k-60

Mathematics
2 answers:
faltersainse [42]3 years ago
8 0

Answer:

4(k - 3)(3k + 5)

Step-by-step explanation:

Given

12k² - 16k - 60 ← factor out 4 from each term

= 4(3k² - 4k - 15) ← factor the quadratic

Consider the factors of the product of the coefficient of the k² term and the constant term which sum to give the coefficient of the k term

product = 3 × - 15 = - 45 , sum = - 4

Factors are - 9 and + 5

Use these factors to split the middle term

3k² - 9k + 5k - 15 → ( factor the first/second and third/fourth terms

= 3k(k - 3) + 5(k - 3) ← factor out (k - 3)

= (k - 3)(3k + 5)

Hence

12k² - 16k - 60 = 4(k - 3)(3k + 5) ← in factored form

I am Lyosha [343]3 years ago
8 0

Hey there!

  • \bold{Factoring:} \bold{12k^2-16k-60}
  • \bold{Solving\downarrow}
  • \boxed{\boxed{\bold{Answer:4(3k+5)(k−3)}}}

  • \bold{Check\downarrow}
  • \bold{4(3k+5)(k-3)}
  • \bold{4\times3k=12k}
  • \bold{4\times5=20}
  • \bold{4\timesk=4k}
  • \bold{4\times-3=-12}
  • Combine your like terms and that should lead us to the equation we have now
  • So, this makes our result true: \boxed{\boxed{\bold{Answer:4(3k+5)(k-3))}}} \checkmark

Good luck on your assignment and enjoy your day! |

~\bold{LoveYourselfFirst:)}

You might be interested in
Find the general term of the quadratic sequence 3, 6, 11, 18, 27,....,...​
AVprozaik [17]

Answer: 39.

Step-by-step explanation:

As 3+3=6, 6+5=11,11+7=18,18+9=27,27+11=39.

3 0
3 years ago
Out of 27 participants in a track race, 5 are from China, 4 from the U.S.A., 3 each from the U.K. and Russia, and the rest from
son4ous [18]
I think it is 4 out of 5 but i dont know the number to the nearest thousanths 
but i hope this helps
4 0
3 years ago
What is the prime factorization of 68
umka21 [38]
68 is not a prime number. The prime factorization of 68 would be 2 x 2 x 17.
6 0
3 years ago
Read 2 more answers
Help!!!!! This is only a review!!!!!! Question is on image below.
solmaris [256]
No, the ratios aren’t equivalent
6 0
3 years ago
PLS HELP ILL GIVE BRAINLY<br><br> Do the graphs below represent a function? Explain.
Allisa [31]

Answer:

no

Step-by-step explanation:

i just know

5 0
2 years ago
Read 2 more answers
Other questions:
  • Which has more people a car that is 3/4 full or a car that is 1/4 full
    5·2 answers
  • A part-time salesperson earns $175 per week plus a 5% commission on her sales. Find the minimum amount of sales she must make to
    5·1 answer
  • How will u change 4% to fractions and reduce them into lowest possible terms
    10·1 answer
  • Hot dogs come in packs of 10 while bonds: packs of eight what are the least number is a fax you should buy in order to have the
    7·1 answer
  • What would be the best first step in solving this system?​
    15·1 answer
  • What is 0^-4? What is 0^0? Please help me.
    15·1 answer
  • Jean picks peaches during her summer vacation. She gets paid $0.60 for each pound of peaches picked. Jean averages 45 pounds per
    10·2 answers
  • Find the intercepts of f(x)= x-4(x-2)^1/3
    11·1 answer
  • I’ll give brainlest if you help me please anyone!!!
    12·2 answers
  • PLEASE SCREENSHOT AND MARKUP FOR 40 POINTS
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!