Factor completely.2, x, squared, plus, 9, x, plus, 42x 2 +9x+4

The expression you provided seems to be a bit unclear, but I'm assuming you're asking to factor the quadratic equation 2x^2 + 9x + 4.

Here are the steps to factor this equation:

1. Identify the coefficients of the quadratic equation. In this case, a = 2, b = 9, and c = 4.

2. Find two numbers that multiply to give ac (a times c), and add to give b. In this case, ac = 24 = 8 and b = 9. The numbers that fit these conditions are 1 and 8 because 18 = 8 and 1+8 = 9.

3. Rewrite the middle term (the term with x) as the sum of the terms with the two numbers found in step 2. This gives us 2x^2 + x + 8x + 4.

4. Factor by grouping. The first two terms can be grouped together, and the last two terms can be grouped together. This gives us x(2x + 1) + 4(2x + 1).

5. Notice that (2x + 1) is a common factor. Factor out this term to get (2x + 1)(x + 4).

So, the factored form of the equation 2x^2 + 9x + 4 is (2x + 1)(x + 4).

The expression you provided seems to be a bit unclear, but I'm assuming you're asking to factor the quadratic equation 2x^2 + 9x + 4.

Here are the steps to factor this equation:

1. Identify the coefficients of the quadratic equation. In this case, a = 2, b = 9, and c = 4.

2. Find two numbers that multiply to give ac (a times c), and add to give b. In this case, ac = 24 = 8 and b = 9. The numbers that fit this criteria are 1 and 8 because 18 = 8 and 1+8 = 9.

3. Rewrite the middle term (the term with x) as the sum of the terms with the two numbers found in step 2. This gives us 2x^2 + x + 8x + 4.

4. Factor by grouping. The first two terms can be grouped together, and the last two terms can be grouped together. This gives us x(2x + 1) + 4(2x + 1).

5. Notice that (2x + 1) is a common factor. Factor out this term to get (2x + 1)(x + 4).

So, the factored form of the equation 2x^2 + 9x + 4 is (2x + 1)(x + 4).