Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring.
−b b^2 − 4ac 2a
Use the part of the quadratic formula that you chose above and find its value, given the following quadratic equation:
4x^2 + 6x + 2 = 0
b^2 - 4(a)(c)
6^2 -4(4)(2)
36-32 =4
your answer is 4
it is the serd: sqrt(b^2-4ac). if b^2-4ac is positive, you can factor.
36-32=4, and sqrt4 is +-2
25.
nevermind thats wrong ^
To determine whether a quadratic equation can be solved by factoring, we need to look at the part of the quadratic formula that tells us whether the discriminant (b^2 - 4ac) is a perfect square or not. If the discriminant is a perfect square, then the quadratic equation can be factored.
In this case, the coefficient of x^2 is 4 (a = 4), the coefficient of x is 6 (b = 6), and the constant term is 2 (c = 2).
Now, let's find the value of the discriminant using the formula:
Discriminant (b^2 - 4ac) = 6^2 - 4(4)(2)
Simplifying this equation, we have:
Discriminant = 36 - 32
Discriminant = 4
Since the discriminant is not a perfect square (4 is not a perfect square), we can conclude that the quadratic equation 4x^2 + 6x + 2 = 0 cannot be factored.