answersLogoWhite

0


Best Answer

You can do this by finding two numbers whose product is equal to the product of the coefficients on the first and last terms, and whose sum is equal to the coefficient of the middle term. So we want two numbers, call them A and B, that add to make 3 and multiply to make -2 * 9, or -18. Those numbers would be six and negative three.

You can take those numbers and break the middle term down into two terms using them as their coefficients:

9x2 + 3x - 2

= 9x2 + 6x - 3x - 2

Now factor out like terms:

= 3x(3x + 2) - 1(3x + 2)

And group:

= (3x - 1)(3x + 2)

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How do you factor 9x2 plus 3x - 2?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Factor 9x2 plus 12x plus 4?

9x2 + 12x + 4 = 9x2 + 6x + 6x + 4 = 3x(3x + 2) + 2(3x + 2) = (3x + 2)(3x + 2) = (3x + 2)2


How do you factor the given polynomial 9x2 plus 9x-10?

9x2 + 9x - 10 =(3x - 2)(3x + 5)


How do you factor 9x squared plus 6x plus 1?

9x2 + 6x + 1 = 9x2 + 3x + 3x + 1 = 3x(3x + 1) + 1(3x + 1) = (3x + 1)(3x + 1) or (3x +1)2


How do you factor 18X squared plus 2?

18x2 + 2= 2(9x2 + 1)= 2(9x2 - -1)= 2[(3x)2 - i2]= 2(3x + √-1)(3x - √-1) (substitute i for √-1)= 2(3x + i)(3x - i)


How do you factor 3x plus 8b times 9x2 - 24xb plus 64b2?

One of the factors is 3x + 8b. The other is 9x^2 -24xb + 64b^2


What is the main factor of 3x3-9x2 3x?

3x(x^2 - 3x + 1)


How would you factor 9x2 - 6xy plus y2 - 81?

9x^2-6xy+y^2 = (y-3x)^2 (y-3x)^2-81 -> ((y-3x)+9)((y-3x)-9)


How do you factor -6x plus 9x2-24?

-6x + 9x2 - 24 = 3(3x2 - 2x - 8) = 3(3x2 - 6x + 4x - 8) = 3(3x(x - 2) + 4(x - 2)) = 3(3x + 4)(x - 2)


What are the factors of 9x2 3x-2?

If you mean: 9x2+3x-2 = (3x+2)(3x-1) when factored


What is the factor of 9x2 minus 12x minus 4?

There's a chance this was notated incorrectly. It looks like it wants to be some combination of 3x and 2. 9x2 + 12x + 4 = (3x + 2)(3x + 2) or (3x + 2)2 -9x2 - 12x - 4 = -(3x + 2)2 9x2 - 12x + 4 = (3x - 2)2 -9x2 + 12x - 4 = -(3x - 2)2


9x2 plus 12x plus 4 factored in decending order?

9x2...I guess that means 9x squared ? The problem: 9x(squared)+12x+4 Here's the answer: (3x+2)(3x+2) or even more simplified: (3x+2) squared


How do you factor 9x2-6xy plus y2-81?

9x2 - 6xy + y2 - 81 = (3x - y)2 - 81 (since the first three terms make a perfect square = (3x - y - 9)(3x - y + 9) since the expression now is a difference of two squares.