Posted by **George** on Wednesday, May 2, 2007 at 9:36pm.

How do you factor 2x^2-5x+2?

(x-2)(2x-1)

how do you figure that out?

trinomials like that can usually be done intuitively, but you should have been taught a method that you can use for general cases.

Look at the first term of 2x^2 and think where that can come from?

(x...)(2x...) is the only possibility.

Now look at the last term of +2

your brackets must have ended with +1 and +2 or -1 and -2

but surely they had to be both negative since the middle term is negative.

so now your choices are

(x-1()2x-2) or (x-2)(2x-1)

mentally expand them, only one gives you the correct middle term of the original.

So there is no way to incorporate the middle term from the beginning, like when there is no number in front of the x^2? And the only way to do it is keep guessing and checking?

## Answer This Question

## Related Questions

- Math - Can somebody please explain to me how to factor trinomials that contain ...
- algebra2 - Solve each of the following quadratic equations. can some explain how...
- Factoring Trinomials - Working on how to factor trinomials, and the method that ...
- MATH STUCK:-( - I am having some difficulties factoring polynomials and I use ...
- Algebra 1 - The architect must factor several trinomials the are of the form x2...
- Math - We can rewrite the expression 16 + 8 as 8x(2+1). Notice that 8 is the ...
- Factoring Polynomials - The book says: Find three different values that complete...
- Math - I have 4 math problems that need to be solved by using factoring. I am ...
- Simplifying Rational Expressions - 1.4x12 / 4x 2.d+7 / d^2-49 3.t^2-25 / t^2+t-...
- math - How do you factor out perfect square trinomials?

More Related Questions