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:

2x2 + 7x + 3 = 0

Answer 1

if \(b^2-4ac\) is a perfect square, then you can factor using rational numbers

Answer 2

tell your teacher you can always factor, just not always using integers

Answer 3

\[2x^2 + 7x + 3 = 0\]\[(x+3)(2x+1)=0\]

Answer 4

its on a quiz. i have to answer with a numerical answer

Answer 5

can you solve \((x+3)(2x+1)=0\) ?

Answer 6

set each factor equal to zero and solve

Answer 7

for example
\[2x+1=0\]
\[2x=-1\]
\[x=-\frac{1}{2}\]