answersLogoWhite

0

Still curious? Ask our experts.

Chat with our AI personalities

ViviVivi
Your ride-or-die bestie who's seen you through every high and low.
Chat with Vivi
DevinDevin
I've poured enough drinks to know that people don't always want advice—they just want to talk.
Chat with Devin
BeauBeau
You're doing better than you think!
Chat with Beau
More answers

To solve factors of 2a2 + a - 15, use these steps:

1) What are the factors of 2a2? The choices are 2a2 x 1 and 2a x a

2) What are the factors of 15? The choices are 1x15 and 3x5.

We can setup the factors to look like this:

(A ± B) * (C ± D)

Because the last term in the expression is negatie (-15), the signs must be opposite. Therefore:

(A + B) * (C - D)

Since the middle term is positive, the product of B*C (which is positive) must be greater than the product of A*D (which is negative).

At this point, you simply need to guess and check the possibilities. Substitute 2a and a (from step 1) for A and C, and 3 and 5 (from step 2) for B and D to yield:

(2a - 5) * (a + 3)

Therefore, the factos of 2a2 + a - 15 are (2a - 5) and (a + 3)

User Avatar

Wiki User

15y ago
User Avatar

Add your answer:

Earn +20 pts
Q: Factors of 2a square plus a-15?
Write your answer...
Submit
Still have questions?
magnify glass
imp