2k^2+5k-9
Is there a question here?
better use the quadratic formula for this one.
To simplify the expression 2k^2 + 5k - 9, we can apply the following steps:
Step 1: Check if there is a common factor that can be factored out. In this case, there is no common factor among the terms.
Step 2: Determine if the quadratic expression can be factored. To check this, we need to find two numbers whose product is equal to the coefficient of the quadratic term (2) multiplied by the constant term (-9), which is -18 in this case, and whose sum is equal to the coefficient of the linear term (5) of the original equation.
The factors of -18 that could potentially sum to 5 are:
(-1, 18)
(-2, 9)
(-3, 6)
(-6, 3)
(-9, 2)
(-18, 1)
None of these pairs of factors gives a sum of 5, so it is not possible to factor the quadratic expression 2k^2 + 5k - 9 further.
Therefore, the simplified expression is 2k^2 + 5k - 9.