Question

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

Answer 1

Answer:

a) $b^2-4ac$

b) 25

Step-by-step explanation:

a) The quadratic formula is $x=\frac{-b\pm \sqrt{b^2-4ac} }{2a}$.

The portion under the radical sign ($b^2-4ac$) is called the discriminant or determinant.

It tells us that, the quadratic equation can be solved by  factoring, if its value is a perfect square.

b) The given quadratic equation is $2x^2+7x+3=0$.

By comparing to $ax^2+bx+c=0$, we have a=2, b=7, and c=3

We substitute these values to get:

$b^2-4ac=7^2-4(2)(3)$

$b^2-4ac=49-24$

$b^2-4ac=25$