answersLogoWhite

0

Considering the minus sign between 5ab and 6b2 then we have the polynomial as 6a2 + 5ab - 6b2. The polynomial is a quadratic polynomial.

Steps to factorize a quadratic polynomial:

1 - Multiply first term by third term. 6a2 x (-6b2) = -36a2b2

2 - If possible break the second term into two terms such that they multiple to -36a2b2. If not then it is factorized by Sridharacharya's formula.

5ab can be broken as 9ab + (-4ab).

These two terms multiply to give -36a2b2.

So we can write 6a2 + 5ab - 6b2 = 6a2 + 9ab + (-4ab) - 6b2.

6a2 + 9ab - 4ab - 6b2 = 3a(2a + 3b) - 2b(2a + 3b) = (2a + 3b)(3a - 2b).

So the factors are (2a + 3b) and (3a - 2b).

User Avatar

Wiki User

12y ago

Still curious? Ask our experts.

Chat with our AI personalities

CoachCoach
Success isn't just about winning—it's about vision, patience, and playing the long game.
Chat with Coach
ProfessorProfessor
I will give you the most educated answer.
Chat with Professor
FranFran
I've made my fair share of mistakes, and if I can help you avoid a few, I'd sure like to try.
Chat with Fran
More answers

6a2 + 5ab - 6b2 = 6a2 + 9ab - 4ab - 6b2 = 3a(2a + 3b) - 2b(2a + 3b)

= (2a + 3b)*(3a - 2b)

User Avatar

Wiki User

14y ago
User Avatar

Add your answer:

Earn +20 pts
Q: Which is a factor of 6a2 plus 5ab - 6b2?
Write your answer...
Submit
Still have questions?
magnify glass
imp