Question

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

Answer 1

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

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

Answer 2

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*3k=12k}`
• 
  `\bold{4*5=20}`
• 
  `\bold{4*k=4k}`
• 
  `\bold{4*-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:)}`