How do I find a expression for 2x2+9x-4
The expression for 2x2+9x-4 is 2x2 + 9x - 4.
To find the expression for 2x^2 + 9x - 4, you already have the expression itself. However, if you're asking for a simplified form or a factorized expression, here are the steps:
If you want to simplify the expression, there may not be further simplification possible since it is already in standard form. However, you can check if the quadratic can be factored:
1. Check if the quadratic expression can be factored using the factoring technique. In this case, it appears to be a quadratic expression and it can indeed be factored.
2. Look for two numbers whose product is equal to the product of the coefficient of x^2 (2) and the constant term (-4), which is -8. The numbers should also add up to the coefficient of x (9).
In this case, the numbers are 8 and -1, as 8 * (-1) = -8 and 8 + (-1) = 7.
3. Rewrite the middle term (9x) using these two numbers, so that the quadratic expression can be factored by grouping.
Replace 9x with 8x - x: 2x^2 + 8x - x - 4
4. Group the terms in pairs and factor them separately:
(2x^2 + 8x) - (x + 4)
5. Factor out the common terms from each pair:
2x(x + 4) - 1(x + 4)
6. Notice that (x + 4) is a common factor in both terms, so it can be factored out:
(2x - 1)(x + 4)
Therefore, the factored expression is (2x - 1)(x + 4).
To find an expression for 2x^2 + 9x - 4, you can simply write it in its expanded form. Here are the steps to expand the expression:
Step 1: Write down the first term, which is 2x^2.
Step 2: Write down the second term, which is 9x.
Step 3: Write down the third term, which is -4.
Putting all these steps together, the expression in its expanded form is:
2x^2 + 9x - 4