Question

Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring.

−b b2 − 4ac 2a

Use the part of the quadratic formula that you chose above and find its value given the following quadratic equation:

4x2 + 6x + 2 = 0

Answer 1

(b^2 - 4ac) is called the discriminant.
If discriminant is positive and a perfect square then the quadratic equation can be solved by factoring.

Answer 2

okay thanks so is it (2x+1)(x+3). as the value

Answer 3

@ranga

Answer 4

4x2 + 6x + 2 = 0
First let us find the discriminant: b^2 - 4ac
6^2 - (4)(4)(2) = 36 - 32 = 4
Discriminant is positive and a perfect square and therefore the quadratic equation can be solved by factoring.
Here I don't think they are asking you to factor it. They are saying: "Use the part of the quadratic formula that you chose above and find its value"

The part you chose for the previous question was: b^2 - 4ac and its value is 4.

But if you need to factor it then: ...

Answer 5

4x^2 + 6x + 2 = 0
4x^2 + 4x + 2x + 2 = 0
4x(x + 1) + 2(x + 1) = 0
(4x + 2)(x + 1) = 0
we can further factor 2 out of the first factor:
2(2x + 1)(x + 1) = 0

Answer 6

thank you for your help!

Answer 7

you are welcome.

Answer 8

@ranga so what is the answer